91766269440 has 640 divisors, whose sum is σ = 340349644800. Its totient is φ = 23410114560.

The previous prime is 91766269429. The next prime is 91766269459. The reversal of 91766269440 is 4496266719.

It is a happy number.

91766269440 is a `hidden beast` number, since 9 + 1 + 7 + 6 + 626 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 242127171 + ... + 242127549.

It is an arithmetic number, because the mean of its divisors is an integer number (531796320).

Almost surely, 2^91766269440 is an apocalyptic number.

91766269440 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 91766269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170174822400).

91766269440 is an abundant number, since it is smaller than the sum of its proper divisors (248583375360).

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

91766269440 is a wasteful number, since it uses less digits than its factorization.

91766269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 91766269440 in words is "ninety-one billion, seven hundred sixty-six million, two hundred sixty-nine thousand, four hundred forty".