75717916560 has 1280 divisors, whose sum is σ = 323979264000. Its totient is φ = 16001556480.

The previous prime is 75717916543. The next prime is 75717916597. The reversal of 75717916560 is 6561971757.

75717916560 is a `hidden beast` number, since 7 + 5 + 7 + 1 + 79 + 1 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75717916497 and 75717916506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 707644027 + ... + 707644133.

It is an arithmetic number, because the mean of its divisors is an integer number (253108800).

Almost surely, 2^75717916560 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 75717916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632000).

75717916560 is an abundant number, since it is smaller than the sum of its proper divisors (248261347440).

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

75717916560 is a wasteful number, since it uses less digits than its factorization.

75717916560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 75717916560 in words is "seventy-five billion, seven hundred seventeen million, nine hundred sixteen thousand, five hundred sixty".