75625920000 has 400 divisors, whose sum is σ = 279764884080. Its totient is φ = 20164608000.

The previous prime is 75625919951. The next prime is 75625920023. The reversal of 75625920000 is 2952657.

75625920000 is a `hidden beast` number, since 7 + 5 + 62 + 592 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×75625920000³ (a number of 34 digits) contains 333 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 39 ways as a sum of consecutive naturals, for example, 8635624 + ... + 8644376.

Almost surely, 2^75625920000 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 75625920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139882442040).

75625920000 is an abundant number, since it is smaller than the sum of its proper divisors (204138964080).

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

75625920000 is an frugal number, since it uses more digits than its factorization.

75625920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 75625920000 in words is "seventy-five billion, six hundred twenty-five million, nine hundred twenty thousand".