75432686016 has 112 divisors (see below), whose sum is σ = 211266633600. Its totient is φ = 23712525312.

The previous prime is 75432686003. The next prime is 75432686027. The reversal of 75432686016 is 61068623457.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81895 + ... + 396953.

Almost surely, 2^75432686016 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 75432686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105633316800).

75432686016 is an abundant number, since it is smaller than the sum of its proper divisors (135833947584).

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

75432686016 is a wasteful number, since it uses less digits than its factorization.

75432686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315146 (or 315136 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 75432686016 in words is "seventy-five billion, four hundred thirty-two million, six hundred eighty-six thousand, sixteen".