91667637360 has 960 divisors, whose sum is σ = 364076697600. Its totient is φ = 21058652160.

The previous prime is 91667637359. The next prime is 91667637389. The reversal of 91667637360 is 6373676619.

91667637360 is a `hidden beast` number, since 91 + 66 + 76 + 373 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 91667637297 and 91667637306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1160349801 + ... + 1160349879.

It is an arithmetic number, because the mean of its divisors is an integer number (379246560).

Almost surely, 2^91667637360 is an apocalyptic number.

91667637360 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 91667637360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182038348800).

91667637360 is an abundant number, since it is smaller than the sum of its proper divisors (272409060240).

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

91667637360 is a wasteful number, since it uses less digits than its factorization.

91667637360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 91667637360 in words is "ninety-one billion, six hundred sixty-seven million, six hundred thirty-seven thousand, three hundred sixty".