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63297440640 = 2732576723431
BaseRepresentation
bin111010111100110100…
…100100101110000000
320001101022022010221100
4322330310210232000
52014113121100030
645024535454400
74400366240160
oct727464445600
9201338263840
1063297440640
1124931834015
1210326227400
135c799545b5
1430c67a45a0
1519a6e9c360
hexebcd24b80

63297440640 has 384 divisors, whose sum is σ = 253537989120. Its totient is φ = 14251438080.

The previous prime is 63297440623. The next prime is 63297440641. The reversal of 63297440640 is 4604479236.

It is a happy number.

63297440640 is a `hidden beast` number, since 63 + 2 + 97 + 440 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63297440641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2689725 + ... + 2713155.

It is an arithmetic number, because the mean of its divisors is an integer number (660255180).

Almost surely, 263297440640 is an apocalyptic number.

63297440640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63297440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126768994560).

63297440640 is an abundant number, since it is smaller than the sum of its proper divisors (190240548480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63297440640 is a wasteful number, since it uses less digits than its factorization.

63297440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23530 (or 23515 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 63297440640 in words is "sixty-three billion, two hundred ninety-seven million, four hundred forty thousand, six hundred forty".