75997824000 has 704 divisors, whose sum is σ = 295318233600. Its totient is φ = 17340825600.

The previous prime is 75997823981. The next prime is 75997824031. The reversal of 75997824000 is 42879957.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131711712 + ... + 131712288.

Almost surely, 2^75997824000 is an apocalyptic number.

75997824000 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 75997824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147659116800).

75997824000 is an abundant number, since it is smaller than the sum of its proper divisors (219320409600).

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

75997824000 is an equidigital number, since it uses as much as digits as its factorization.

75997824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 75997824000 in words is "seventy-five billion, nine hundred ninety-seven million, eight hundred twenty-four thousand".