75079470400 has 504 divisors, whose sum is σ = 218428287552. Its totient is φ = 25141248000.

The previous prime is 75079470379. The next prime is 75079470409. The reversal of 75079470400 is 407497057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75079470409) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 389012704 + ... + 389012896.

Almost surely, 2^75079470400 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 75079470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109214143776).

75079470400 is an abundant number, since it is smaller than the sum of its proper divisors (143348817152).

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

75079470400 is a wasteful number, since it uses less digits than its factorization.

75079470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 75079470400 in words is "seventy-five billion, seventy-nine million, four hundred seventy thousand, four hundred".