91762724640 has 192 divisors, whose sum is σ = 302742945792. Its totient is φ = 23319014400.

The previous prime is 91762724597. The next prime is 91762724657. The reversal of 91762724640 is 4642726719.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 91762724640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2976505 + ... + 3007175.

It is an arithmetic number, because the mean of its divisors is an integer number (1576786176).

Almost surely, 2^91762724640 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 91762724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151371472896).

91762724640 is an abundant number, since it is smaller than the sum of its proper divisors (210980221152).

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

91762724640 is a wasteful number, since it uses less digits than its factorization.

91762724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30983 (or 30975 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 91762724640 in words is "ninety-one billion, seven hundred sixty-two million, seven hundred twenty-four thousand, six hundred forty".