81974674416960 has 224 divisors, whose sum is σ = 311433699386880. Its totient is φ = 20178381367296.

The previous prime is 81974674416919. The next prime is 81974674416989. The reversal of 81974674416960 is 6961447647918.

81974674416960 is a `hidden beast` number, since 8 + 1 + 9 + 7 + 4 + 67 + 441 + 69 + 60 = 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 31 ways as a sum of consecutive naturals, for example, 364803432 + ... + 365028071.

It is an arithmetic number, because the mean of its divisors is an integer number (1390329015120).

Almost surely, 2^{81974674416960} is an apocalyptic number.

81974674416960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81974674416960 is an abundant number, since it is smaller than the sum of its proper divisors (229459024969920).

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

81974674416960 is a wasteful number, since it uses less digits than its factorization.

81974674416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729831542 (or 729831526 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 81974674416960 in words is "eighty-one trillion, nine hundred seventy-four billion, six hundred seventy-four million, four hundred sixteen thousand, nine hundred sixty".