75878942688640 has 2048 divisors, whose sum is σ = 246659696640000. Its totient is φ = 21789306519552.

The previous prime is 75878942688613. The next prime is 75878942688713. The reversal of 75878942688640 is 4688624987857.

It is a super-2 number, since 2×75878942688640² (a number of 29 digits) contains 22 as substring.

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, 782257141072 + ... + 782257141168.

It is an arithmetic number, because the mean of its divisors is an integer number (120439305000).

Almost surely, 2^{75878942688640} is an apocalyptic number.

75878942688640 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 75878942688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123329848320000).

75878942688640 is an abundant number, since it is smaller than the sum of its proper divisors (170780753951360).

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

75878942688640 is a wasteful number, since it uses less digits than its factorization.

75878942688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 10404495360, while the sum is 82.

The spelling of 75878942688640 in words is "seventy-five trillion, eight hundred seventy-eight billion, nine hundred forty-two million, six hundred eighty-eight thousand, six hundred forty".