91937659968 has 336 divisors, whose sum is σ = 329022480384. Its totient is φ = 23845432320.

The previous prime is 91937659967. The next prime is 91937659981. The reversal of 91937659968 is 86995673919.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×91937659968² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 91937659896 and 91937659905.

It is not an unprimeable number, because it can be changed into a prime (91937659963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48209671 + ... + 48211577.

Almost surely, 2^91937659968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91937659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164511240192).

91937659968 is an abundant number, since it is smaller than the sum of its proper divisors (237084820416).

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

91937659968 is a wasteful number, since it uses less digits than its factorization.

91937659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3017 counting only the distinct ones).

The product of its digits is 198404640, while the sum is 72.

The spelling of 91937659968 in words is "ninety-one billion, nine hundred thirty-seven million, six hundred fifty-nine thousand, nine hundred sixty-eight".