75495564144 has 480 divisors, whose sum is σ = 285825705984. Its totient is φ = 17964011520.

The previous prime is 75495564127. The next prime is 75495564217. The reversal of 75495564144 is 44146559457.

75495564144 is a `hidden beast` number, since 7 + 5 + 4 + 9 + 556 + 41 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19745817 + ... + 19749639.

Almost surely, 2^75495564144 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 75495564144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142912852992).

75495564144 is an abundant number, since it is smaller than the sum of its proper divisors (210330141840).

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

75495564144 is a wasteful number, since it uses less digits than its factorization.

75495564144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3996 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 75495564144 in words is "seventy-five billion, four hundred ninety-five million, five hundred sixty-four thousand, one hundred forty-four".