91766137680 has 1600 divisors, whose sum is σ = 408348864000. Its totient is φ = 19020718080.

The previous prime is 91766137657. The next prime is 91766137691. The reversal of 91766137680 is 8673166719.

It is a happy number.

91766137680 is a `hidden beast` number, since 9 + 17 + 6 + 613 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1731436534 + ... + 1731436586.

It is an arithmetic number, because the mean of its divisors is an integer number (255218040).

Almost surely, 2^91766137680 is an apocalyptic number.

91766137680 is a gapful number since it is divisible by the number (90) 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 91766137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174432000).

91766137680 is an abundant number, since it is smaller than the sum of its proper divisors (316582726320).

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

91766137680 is a wasteful number, since it uses less digits than its factorization.

91766137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 91766137680 in words is "ninety-one billion, seven hundred sixty-six million, one hundred thirty-seven thousand, six hundred eighty".