76974192000 has 1024 divisors, whose sum is σ = 303066316800. Its totient is φ = 19160064000.

The previous prime is 76974191971. The next prime is 76974192083. The reversal of 76974192000 is 29147967.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 606095937 + ... + 606096063.

It is an arithmetic number, because the mean of its divisors is an integer number (295963200).

Almost surely, 2^76974192000 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 76974192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151533158400).

76974192000 is an abundant number, since it is smaller than the sum of its proper divisors (226092124800).

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

76974192000 is a wasteful number, since it uses less digits than its factorization.

76974192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 76974192000 in words is "seventy-six billion, nine hundred seventy-four million, one hundred ninety-two thousand".