75940838400 has 528 divisors, whose sum is σ = 296796003840. Its totient is φ = 16755916800.

The previous prime is 75940838287. The next prime is 75940838401. The reversal of 75940838400 is 483804957.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 75940838400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75940838401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15587965 + ... + 15592835.

Almost surely, 2^75940838400 is an apocalyptic number.

75940838400 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 75940838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148398001920).

75940838400 is an abundant number, since it is smaller than the sum of its proper divisors (220855165440).

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

75940838400 is a wasteful number, since it uses less digits than its factorization.

75940838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 75940838400 in words is "seventy-five billion, nine hundred forty million, eight hundred thirty-eight thousand, four hundred".