18976688640 has 960 divisors, whose sum is σ = 84639582720. Its totient is φ = 3994583040.

The previous prime is 18976688639. The next prime is 18976688641. The reversal of 18976688640 is 4688667981.

It is an interprime number because it is at equal distance from previous prime (18976688639) and next prime (18976688641).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×18976688640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18976688641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44029225 + ... + 44029655.

It is an arithmetic number, because the mean of its divisors is an integer number (88166232).

Almost surely, 2^18976688640 is an apocalyptic number.

18976688640 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 18976688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319791360).

18976688640 is an abundant number, since it is smaller than the sum of its proper divisors (65662894080).

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

18976688640 is a wasteful number, since it uses less digits than its factorization.

18976688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 18976688640 in words is "eighteen billion, nine hundred seventy-six million, six hundred eighty-eight thousand, six hundred forty".