91264773600 has 2592 divisors, whose sum is σ = 462910121856. Its totient is φ = 17244057600.

The previous prime is 91264773557. The next prime is 91264773601. The reversal of 91264773600 is 637746219.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91264773601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1362160767 + ... + 1362160833.

It is an arithmetic number, because the mean of its divisors is an integer number (178591868).

Almost surely, 2^91264773600 is an apocalyptic number.

91264773600 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 91264773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231455060928).

91264773600 is an abundant number, since it is smaller than the sum of its proper divisors (371645348256).

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

91264773600 is a wasteful number, since it uses less digits than its factorization.

91264773600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 91264773600 in words is "ninety-one billion, two hundred sixty-four million, seven hundred seventy-three thousand, six hundred".