91658407680 has 2160 divisors, whose sum is σ = 437347975680. Its totient is φ = 17868128256.

The previous prime is 91658407669. The next prime is 91658407693. The reversal of 91658407680 is 8670485619.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 3985148149 + ... + 3985148171.

Almost surely, 2^91658407680 is an apocalyptic number.

91658407680 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 91658407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218673987840).

91658407680 is an abundant number, since it is smaller than the sum of its proper divisors (345689568000).

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

91658407680 is a wasteful number, since it uses less digits than its factorization.

91658407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 91658407680 in words is "ninety-one billion, six hundred fifty-eight million, four hundred seven thousand, six hundred eighty".