75744668400 has 480 divisors, whose sum is σ = 260040880128. Its totient is φ = 18811699200.

The previous prime is 75744668339. The next prime is 75744668407. The reversal of 75744668400 is 486644757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75744668407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155532957 + ... + 155533443.

Almost surely, 2^75744668400 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 75744668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130020440064).

75744668400 is an abundant number, since it is smaller than the sum of its proper divisors (184296211728).

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

75744668400 is a wasteful number, since it uses less digits than its factorization.

75744668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 75744668400 in words is "seventy-five billion, seven hundred forty-four million, six hundred sixty-eight thousand, four hundred".