75660704000 has 432 divisors, whose sum is σ = 222592262256. Its totient is φ = 25546752000.

The previous prime is 75660703973. The next prime is 75660704017. The reversal of 75660704000 is 40706657.

It can be written as a sum of positive squares in 8 ways, for example, as 12269549824 + 63391154176 = 110768^2 + 251776^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114463670 + ... + 114464330.

Almost surely, 2^75660704000 is an apocalyptic number.

75660704000 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 75660704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111296131128).

75660704000 is an abundant number, since it is smaller than the sum of its proper divisors (146931558256).

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

75660704000 is an equidigital number, since it uses as much as digits as its factorization.

75660704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 75660704000 in words is "seventy-five billion, six hundred sixty million, seven hundred four thousand".