75660752401920 has 2560 divisors, whose sum is σ = 329076812021760. Its totient is φ = 16112847421440.

The previous prime is 75660752401919. The next prime is 75660752401939. The reversal of 75660752401920 is 2910425706657.

It is a happy number.

75660752401920 is a `hidden beast` number, since 7 + 5 + 6 + 607 + 5 + 2 + 4 + 0 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 47081985757 + ... + 47081987363.

It is an arithmetic number, because the mean of its divisors is an integer number (128545629696).

Almost surely, 2^{75660752401920} is an apocalyptic number.

75660752401920 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 75660752401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164538406010880).

75660752401920 is an abundant number, since it is smaller than the sum of its proper divisors (253416059619840).

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

75660752401920 is a wasteful number, since it uses less digits than its factorization.

75660752401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 75660752401920 in words is "seventy-five trillion, six hundred sixty billion, seven hundred fifty-two million, four hundred one thousand, nine hundred twenty".