75564746400 has 288 divisors, whose sum is σ = 288965130048. Its totient is φ = 16909516800.

The previous prime is 75564746399. The next prime is 75564746407. The reversal of 75564746400 is 464746557.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its 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 75564746400.

It is not an unprimeable number, because it can be changed into a prime (75564746407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233112 + ... + 453288.

It is an arithmetic number, because the mean of its divisors is an integer number (1003351146).

Almost surely, 2^75564746400 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 75564746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144482565024).

75564746400 is an abundant number, since it is smaller than the sum of its proper divisors (213400383648).

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

75564746400 is a wasteful number, since it uses less digits than its factorization.

75564746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220224 (or 220211 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 75564746400 in words is "seventy-five billion, five hundred sixty-four million, seven hundred forty-six thousand, four hundred".