75438603504 has 960 divisors, whose sum is σ = 274542428160. Its totient is φ = 19752284160.

The previous prime is 75438603503. The next prime is 75438603511. The reversal of 75438603504 is 40530683457.

75438603504 is a `hidden beast` number, since 7 + 5 + 4 + 38 + 603 + 5 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 75438603504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75438603503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 594004689 + ... + 594004815.

It is an arithmetic number, because the mean of its divisors is an integer number (285981696).

Almost surely, 2^75438603504 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 75438603504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137271214080).

75438603504 is an abundant number, since it is smaller than the sum of its proper divisors (199103824656).

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

75438603504 is a wasteful number, since it uses less digits than its factorization.

75438603504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 75438603504 in words is "seventy-five billion, four hundred thirty-eight million, six hundred three thousand, five hundred four".