18692472960 has 576 divisors, whose sum is σ = 75932700480. Its totient is φ = 4224503808.

The previous prime is 18692472949. The next prime is 18692472971. The reversal of 18692472960 is 6927429681.

18692472960 is a `hidden beast` number, since 1 + 86 + 9 + 2 + 472 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18692472949) and next prime (18692472971).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 18692472897 and 18692472906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29070399 + ... + 29071041.

It is an arithmetic number, because the mean of its divisors is an integer number (131827605).

Almost surely, 2^18692472960 is an apocalyptic number.

18692472960 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 18692472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966350240).

18692472960 is an abundant number, since it is smaller than the sum of its proper divisors (57240227520).

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

18692472960 is a wasteful number, since it uses less digits than its factorization.

18692472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 18692472960 in words is "eighteen billion, six hundred ninety-two million, four hundred seventy-two thousand, nine hundred sixty".