75468324896640 has 1024 divisors, whose sum is σ = 298543227494400. Its totient is φ = 17892016128000.

The previous prime is 75468324896563. The next prime is 75468324896687. The reversal of 75468324896640 is 4669842386457.

75468324896640 is a `hidden beast` number, since 7 + 5 + 4 + 6 + 83 + 2 + 489 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1469344560 + ... + 1469395920.

It is an arithmetic number, because the mean of its divisors is an integer number (291546120600).

Almost surely, 2^{75468324896640} 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 75468324896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149271613747200).

75468324896640 is an abundant number, since it is smaller than the sum of its proper divisors (223074902597760).

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

75468324896640 is a wasteful number, since it uses less digits than its factorization.

75468324896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51644 (or 51626 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 75468324896640 in words is "seventy-five trillion, four hundred sixty-eight billion, three hundred twenty-four million, eight hundred ninety-six thousand, six hundred forty".