91765743696 has 450 divisors, whose sum is σ = 308300714106. Its totient is φ = 26327980800.

The previous prime is 91765743661. The next prime is 91765743701. The reversal of 91765743696 is 69634756719.

It can be written as a sum of positive squares in only one way, i.e., 86104686096 + 5661057600 = 293436^2 + 75240^2 .

It is a super-3 number, since 3×91765743696³ (a number of 34 digits) contains 333 as substring.

Its product of digits (51438240) is a multiple of the sum of its prime factors (1701).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 56609766 + ... + 56611386.

Almost surely, 2^91765743696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91765743696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154150357053).

91765743696 is an abundant number, since it is smaller than the sum of its proper divisors (216534970410).

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

91765743696 is a wasteful number, since it uses less digits than its factorization.

91765743696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1656 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 91765743696 in words is "ninety-one billion, seven hundred sixty-five million, seven hundred forty-three thousand, six hundred ninety-six".