18824000832 has 672 divisors, whose sum is σ = 70580170752. Its totient is φ = 4841773056.

The previous prime is 18824000821. The next prime is 18824000849. The reversal of 18824000832 is 23800042881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 66515763 + ... + 66516045.

It is an arithmetic number, because the mean of its divisors is an integer number (105030016).

Almost surely, 2^18824000832 is an apocalyptic number.

18824000832 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 18824000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35290085376).

18824000832 is an abundant number, since it is smaller than the sum of its proper divisors (51756169920).

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

18824000832 is a wasteful number, since it uses less digits than its factorization.

18824000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18824000832 in words is "eighteen billion, eight hundred twenty-four million, eight hundred thirty-two", and thus it is an aban number.