75918372768 has 576 divisors, whose sum is σ = 269570246400. Its totient is φ = 20355287040.

The previous prime is 75918372721. The next prime is 75918372809. The reversal of 75918372768 is 86727381957.

75918372768 is a `hidden beast` number, since 7 + 591 + 8 + 37 + 2 + 7 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195162718 + ... + 195163106.

It is an arithmetic number, because the mean of its divisors is an integer number (468003900).

Almost surely, 2^75918372768 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 75918372768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134785123200).

75918372768 is an abundant number, since it is smaller than the sum of its proper divisors (193651873632).

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

75918372768 is a wasteful number, since it uses less digits than its factorization.

75918372768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 485 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 75918372768 in words is "seventy-five billion, nine hundred eighteen million, three hundred seventy-two thousand, seven hundred sixty-eight".