18376405632 has 384 divisors, whose sum is σ = 59671468800. Its totient is φ = 5563883520.

The previous prime is 18376405627. The next prime is 18376405633. The reversal of 18376405632 is 23650467381.

18376405632 is a `hidden beast` number, since 1 + 8 + 3 + 7 + 6 + 4 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18376405633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42636457 + ... + 42636887.

It is an arithmetic number, because the mean of its divisors is an integer number (155394450).

Almost surely, 2^18376405632 is an apocalyptic number.

18376405632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18376405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29835734400).

18376405632 is an abundant number, since it is smaller than the sum of its proper divisors (41295063168).

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

18376405632 is a wasteful number, since it uses less digits than its factorization.

18376405632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 18376405632 in words is "eighteen billion, three hundred seventy-six million, four hundred five thousand, six hundred thirty-two".