75961006704000 has 2304 divisors, whose sum is σ = 322199079359040. Its totient is φ = 16949526528000.

The previous prime is 75961006703971. The next prime is 75961006704053. The reversal of 75961006704000 is 40760016957.

It is a happy number.

75961006704000 is a `hidden beast` number, since 7 + 596 + 10 + 0 + 6 + 7 + 0 + 40 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 59483951362 + ... + 59483952638.

Almost surely, 2^{75961006704000} 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 75961006704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161099539679520).

75961006704000 is an abundant number, since it is smaller than the sum of its proper divisors (246238072655040).

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

75961006704000 is a wasteful number, since it uses less digits than its factorization.

75961006704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 75961006704000 in words is "seventy-five trillion, nine hundred sixty-one billion, six million, seven hundred four thousand".