75664530871440 has 160 divisors (see below), whose sum is σ = 269997175741440. Its totient is φ = 17170327199232.

The previous prime is 75664530871429. The next prime is 75664530871451. The reversal of 75664530871440 is 4417803546657.

75664530871440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (75664530871429) and next prime (75664530871451).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161775154 + ... + 162242193.

It is an arithmetic number, because the mean of its divisors is an integer number (1687482348384).

Almost surely, 2^{75664530871440} is an apocalyptic number.

75664530871440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75664530871440 is an abundant number, since it is smaller than the sum of its proper divisors (194332644870000).

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

75664530871440 is a wasteful number, since it uses less digits than its factorization.

75664530871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324017509 (or 324017503 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 60.

The spelling of 75664530871440 in words is "seventy-five trillion, six hundred sixty-four billion, five hundred thirty million, eight hundred seventy-one thousand, four hundred forty".