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63712993680 = 243257233591531
BaseRepresentation
bin111011010101100101…
…110010000110010000
320002110021020102112200
4323111211302012100
52020441011244210
645134102323200
74413603340110
oct732545620620
9202407212480
1063712993680
1125025362186
1210421429500
136014a8017b
143125a57040
1519cd6d40c0
hexed5972190

63712993680 has 480 divisors, whose sum is σ = 256046469120. Its totient is φ = 13881922560.

The previous prime is 63712993667. The next prime is 63712993733. The reversal of 63712993680 is 8639921736.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 41614515 + ... + 41616045.

It is an arithmetic number, because the mean of its divisors is an integer number (533430144).

Almost surely, 263712993680 is an apocalyptic number.

63712993680 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 63712993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128023234560).

63712993680 is an abundant number, since it is smaller than the sum of its proper divisors (192333475440).

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

63712993680 is a wasteful number, since it uses less digits than its factorization.

63712993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 63712993680 in words is "sixty-three billion, seven hundred twelve million, nine hundred ninety-three thousand, six hundred eighty".