91763591040 has 1280 divisors, whose sum is σ = 383885568000. Its totient is φ = 20669644800.

The previous prime is 91763591039. The next prime is 91763591081. The reversal of 91763591040 is 4019536719.

91763591040 is a `hidden beast` number, since 9 + 1 + 7 + 635 + 9 + 1 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 512645671 + ... + 512645849.

It is an arithmetic number, because the mean of its divisors is an integer number (299910600).

Almost surely, 2^91763591040 is an apocalyptic number.

91763591040 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 91763591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191942784000).

91763591040 is an abundant number, since it is smaller than the sum of its proper divisors (292121976960).

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

91763591040 is a wasteful number, since it uses less digits than its factorization.

91763591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 91763591040 in words is "ninety-one billion, seven hundred sixty-three million, five hundred ninety-one thousand, forty".