76965554160 has 640 divisors, whose sum is σ = 307158912000. Its totient is φ = 17663754240.

The previous prime is 76965554147. The next prime is 76965554219. The reversal of 76965554160 is 6145556967.

76965554160 is a `hidden beast` number, since 7 + 6 + 96 + 5 + 5 + 541 + 6 + 0 = 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 = 76965554097 and 76965554106.

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, 54623536 + ... + 54624944.

It is an arithmetic number, because the mean of its divisors is an integer number (479935800).

Almost surely, 2^76965554160 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 76965554160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153579456000).

76965554160 is an abundant number, since it is smaller than the sum of its proper divisors (230193357840).

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

76965554160 is a wasteful number, since it uses less digits than its factorization.

76965554160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 76965554160 in words is "seventy-six billion, nine hundred sixty-five million, five hundred fifty-four thousand, one hundred sixty".