75979728000000 has 2464 divisors, whose sum is σ = 313186991155200. Its totient is φ = 18040320000000.

The previous prime is 75979727999983. The next prime is 75979728000017. The reversal of 75979728000000 is 82797957.

It is an interprime number because it is at equal distance from previous prime (75979727999983) and next prime (75979728000017).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 280367999865 + ... + 280368000135.

Almost surely, 2^{75979728000000} 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 75979728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156593495577600).

75979728000000 is an abundant number, since it is smaller than the sum of its proper divisors (237207263155200).

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

75979728000000 is an equidigital number, since it uses as much as digits as its factorization.

75979728000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 75979728000000 in words is "seventy-five trillion, nine hundred seventy-nine billion, seven hundred twenty-eight million", and thus it is an aban number.