18274790766960 has 640 divisors, whose sum is σ = 77774282127360. Its totient is φ = 3840766377984.

The previous prime is 18274790766851. The next prime is 18274790766979. The reversal of 18274790766960 is 6966709747281.

18274790766960 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 479 + 0 + 7 + 66 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 50335039 + ... + 50696801.

It is an arithmetic number, because the mean of its divisors is an integer number (121522315824).

Almost surely, 2^{18274790766960} is an apocalyptic number.

18274790766960 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 18274790766960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38887141063680).

18274790766960 is an abundant number, since it is smaller than the sum of its proper divisors (59499491360400).

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

18274790766960 is a wasteful number, since it uses less digits than its factorization.

18274790766960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362062 (or 362050 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 18274790766960 in words is "eighteen trillion, two hundred seventy-four billion, seven hundred ninety million, seven hundred sixty-six thousand, nine hundred sixty".