76922732001248 has 72 divisors (see below), whose sum is σ = 173689925049648. Its totient is φ = 32850386721792.

The previous prime is 76922732001229. The next prime is 76922732001259. The reversal of 76922732001248 is 84210023722967.

It is a super-3 number, since 3×76922732001248³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76922732001248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15796040 + ... + 20083832.

It is an arithmetic number, because the mean of its divisors is an integer number (2412360070134).

Almost surely, 2^{76922732001248} 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 76922732001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86844962524824).

76922732001248 is an abundant number, since it is smaller than the sum of its proper divisors (96767193048400).

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

76922732001248 is an equidigital number, since it uses as much as digits as its factorization.

76922732001248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288376 (or 4288085 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 76922732001248 in words is "seventy-six trillion, nine hundred twenty-two billion, seven hundred thirty-two million, one thousand, two hundred forty-eight".