91964471040 has 1080 divisors, whose sum is σ = 371336210784. Its totient is φ = 21598617600.

The previous prime is 91964471029. The next prime is 91964471059. The reversal of 91964471040 is 4017446919.

91964471040 is a `hidden beast` number, since 9 + 196 + 447 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×91964471040³ (a number of 34 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 1295274205 + ... + 1295274275.

Almost surely, 2^91964471040 is an apocalyptic number.

91964471040 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 91964471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185668105392).

91964471040 is an abundant number, since it is smaller than the sum of its proper divisors (279371739744).

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

91964471040 is a wasteful number, since it uses less digits than its factorization.

91964471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 91964471040 in words is "ninety-one billion, nine hundred sixty-four million, four hundred seventy-one thousand, forty".