75738608400 has 480 divisors, whose sum is σ = 301998170880. Its totient is φ = 15798435840.

The previous prime is 75738608381. The next prime is 75738608411. The reversal of 75738608400 is 480683757.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 75738608400.

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 95 ways as a sum of consecutive naturals, for example, 9714904 + ... + 9722696.

It is an arithmetic number, because the mean of its divisors is an integer number (629162856).

Almost surely, 2^75738608400 is an apocalyptic number.

75738608400 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 75738608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150999085440).

75738608400 is an abundant number, since it is smaller than the sum of its proper divisors (226259562480).

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

75738608400 is a wasteful number, since it uses less digits than its factorization.

75738608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7923 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 75738608400 in words is "seventy-five billion, seven hundred thirty-eight million, six hundred eight thousand, four hundred".