56737865076480 has 1440 divisors, whose sum is σ = 240284177578368. Its totient is φ = 12514856140800.

The previous prime is 56737865076469. The next prime is 56737865076499. The reversal of 56737865076480 is 8467056873765.

56737865076480 is a `hidden beast` number, since 5 + 6 + 7 + 3 + 78 + 6 + 5 + 0 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56737865076399 and 56737865076408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2346369990 + ... + 2346394170.

Almost surely, 2^{56737865076480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56737865076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120142088789184).

56737865076480 is an abundant number, since it is smaller than the sum of its proper divisors (183546312501888).

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

56737865076480 is a wasteful number, since it uses less digits than its factorization.

56737865076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24335 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 56737865076480 in words is "fifty-six trillion, seven hundred thirty-seven billion, eight hundred sixty-five million, seventy-six thousand, four hundred eighty".