75709440000 has 840 divisors, whose sum is σ = 287429643072. Its totient is φ = 19169280000.

The previous prime is 75709439999. The next prime is 75709440029. The reversal of 75709440000 is 4490757.

It is a happy number.

It is a super-2 number, since 2×75709440000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1428479974 + ... + 1428480026.

Almost surely, 2^75709440000 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 75709440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143714821536).

75709440000 is an abundant number, since it is smaller than the sum of its proper divisors (211720203072).

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

75709440000 is an equidigital number, since it uses as much as digits as its factorization.

75709440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 75709440000 in words is "seventy-five billion, seven hundred nine million, four hundred forty thousand".