91962823680 has 1188 divisors, whose sum is σ = 403045203132. Its totient is φ = 19322634240.

The previous prime is 91962823663. The next prime is 91962823703. The reversal of 91962823680 is 8632826919.

91962823680 is a `hidden beast` number, since 9 + 1 + 9 + 628 + 2 + 3 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9625964544 + 82336859136 = 98112^2 + 286944^2 .

It is a super-3 number, since 3×91962823680³ (a number of 34 digits) contains 333 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 381588360 + ... + 381588600.

It is an arithmetic number, because the mean of its divisors is an integer number (339263639).

Almost surely, 2^91962823680 is an apocalyptic number.

91962823680 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 91962823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522601566).

91962823680 is an abundant number, since it is smaller than the sum of its proper divisors (311082379452).

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

91962823680 is a wasteful number, since it uses less digits than its factorization.

91962823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 91962823680 in words is "ninety-one billion, nine hundred sixty-two million, eight hundred twenty-three thousand, six hundred eighty".