75665408000 has 768 divisors, whose sum is σ = 244749632400. Its totient is φ = 23121100800.

The previous prime is 75665407963. The next prime is 75665408023. The reversal of 75665408000 is 80456657.

It can be written as a sum of positive squares in 8 ways, for example, as 802816 + 75664605184 = 896^2 + 275072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2609151986 + ... + 2609152014.

Almost surely, 2^75665408000 is an apocalyptic number.

75665408000 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 75665408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122374816200).

75665408000 is an abundant number, since it is smaller than the sum of its proper divisors (169084224400).

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

75665408000 is an equidigital number, since it uses as much as digits as its factorization.

75665408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 75665408000 in words is "seventy-five billion, six hundred sixty-five million, four hundred eight thousand".