18445976640 has 896 divisors, whose sum is σ = 82954368000. Its totient is φ = 3753050112.

The previous prime is 18445976639. The next prime is 18445976651. The reversal of 18445976640 is 4667954481.

18445976640 is a `hidden beast` number, since 1 + 8 + 4 + 4 + 597 + 6 + 6 + 40 = 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 127 ways as a sum of consecutive naturals, for example, 22800556 + ... + 22801364.

It is an arithmetic number, because the mean of its divisors is an integer number (92583000).

Almost surely, 2^18445976640 is an apocalyptic number.

18445976640 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 18445976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477184000).

18445976640 is an abundant number, since it is smaller than the sum of its proper divisors (64508391360).

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

18445976640 is a wasteful number, since it uses less digits than its factorization.

18445976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18445976640 in words is "eighteen billion, four hundred forty-five million, nine hundred seventy-six thousand, six hundred forty".