18642752100 has 576 divisors, whose sum is σ = 72315371520. Its totient is φ = 4030041600.

The previous prime is 18642752081. The next prime is 18642752113. The reversal of 18642752100 is 125724681.

18642752100 is a `hidden beast` number, since 1 + 8 + 642 + 7 + 5 + 2 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27536962 + ... + 27537638.

It is an arithmetic number, because the mean of its divisors is an integer number (125547520).

Almost surely, 2^18642752100 is an apocalyptic number.

18642752100 is a gapful number since it is divisible by the number (10) 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 18642752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36157685760).

18642752100 is an abundant number, since it is smaller than the sum of its proper divisors (53672619420).

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

18642752100 is a wasteful number, since it uses less digits than its factorization.

18642752100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 18642752100 in words is "eighteen billion, six hundred forty-two million, seven hundred fifty-two thousand, one hundred".