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64973497680 = 243357133110663
BaseRepresentation
bin111100100000101110…
…001110010101010000
320012201010002122222000
4330200232032111100
52031031203411210
645503131314000
74460050421640
oct744056162520
9205633078860
1064973497680
1125611933523
12107135ab900
136185c69b20
143205216520
151a541c1ac0
hexf20b8e550

64973497680 has 640 divisors, whose sum is σ = 284355133440. Its totient is φ = 13265233920.

The previous prime is 64973497669. The next prime is 64973497733. The reversal of 64973497680 is 8679437946.

64973497680 is a `hidden beast` number, since 64 + 9 + 7 + 3 + 497 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6088029 + ... + 6098691.

It is an arithmetic number, because the mean of its divisors is an integer number (444304896).

Almost surely, 264973497680 is an apocalyptic number.

64973497680 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 64973497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142177566720).

64973497680 is an abundant number, since it is smaller than the sum of its proper divisors (219381635760).

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

64973497680 is a wasteful number, since it uses less digits than its factorization.

64973497680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10736 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 64973497680 in words is "sixty-four billion, nine hundred seventy-three million, four hundred ninety-seven thousand, six hundred eighty".