76617475197120 has 1568 divisors, whose sum is σ = 323434116371520. Its totient is φ = 17034799841280.

The previous prime is 76617475197103. The next prime is 76617475197139. The reversal of 76617475197120 is 2179157471667.

It is a happy number.

76617475197120 is a `hidden beast` number, since 7 + 6 + 6 + 1 + 7 + 47 + 519 + 71 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5237361966 + ... + 5237376594.

It is an arithmetic number, because the mean of its divisors is an integer number (206271757890).

Almost surely, 2^{76617475197120} 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 76617475197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161717058185760).

76617475197120 is an abundant number, since it is smaller than the sum of its proper divisors (246816641174400).

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

76617475197120 is a wasteful number, since it uses less digits than its factorization.

76617475197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14845 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 76617475197120 in words is "seventy-six trillion, six hundred seventeen billion, four hundred seventy-five million, one hundred ninety-seven thousand, one hundred twenty".