75966934680 has 1152 divisors, whose sum is σ = 333114163200. Its totient is φ = 14579066880.

The previous prime is 75966934633. The next prime is 75966934691. The reversal of 75966934680 is 8643966957.

75966934680 is a `hidden beast` number, since 7 + 596 + 6 + 9 + 34 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 598164777 + ... + 598164903.

It is an arithmetic number, because the mean of its divisors is an integer number (289161600).

Almost surely, 2^75966934680 is an apocalyptic number.

75966934680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75966934680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166557081600).

75966934680 is an abundant number, since it is smaller than the sum of its proper divisors (257147228520).

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

75966934680 is a wasteful number, since it uses less digits than its factorization.

75966934680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 75966934680 in words is "seventy-five billion, nine hundred sixty-six million, nine hundred thirty-four thousand, six hundred eighty".