91478084760 has 768 divisors, whose sum is σ = 337379328000. Its totient is φ = 21398307840.

The previous prime is 91478084701. The next prime is 91478084809. The reversal of 91478084760 is 6748087419.

It is a happy number.

91478084760 is a `hidden beast` number, since 91 + 4 + 7 + 80 + 8 + 476 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 91478084697 and 91478084706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 720299817 + ... + 720299943.

It is an arithmetic number, because the mean of its divisors is an integer number (439296000).

Almost surely, 2^91478084760 is an apocalyptic number.

91478084760 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 91478084760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168689664000).

91478084760 is an abundant number, since it is smaller than the sum of its proper divisors (245901243240).

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

91478084760 is a wasteful number, since it uses less digits than its factorization.

91478084760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 91478084760 in words is "ninety-one billion, four hundred seventy-eight million, eighty-four thousand, seven hundred sixty".