18877525632 has 640 divisors, whose sum is σ = 68815042560. Its totient is φ = 5019936768.

The previous prime is 18877525627. The next prime is 18877525651. The reversal of 18877525632 is 23652577881.

18877525632 is a `hidden beast` number, since 1 + 8 + 8 + 7 + 75 + 2 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71777533 + ... + 71777795.

It is an arithmetic number, because the mean of its divisors is an integer number (107523504).

Almost surely, 2^18877525632 is an apocalyptic number.

18877525632 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 18877525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34407521280).

18877525632 is an abundant number, since it is smaller than the sum of its proper divisors (49937516928).

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

18877525632 is a wasteful number, since it uses less digits than its factorization.

18877525632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 18877525632 in words is "eighteen billion, eight hundred seventy-seven million, five hundred twenty-five thousand, six hundred thirty-two".