926407323376080 has 1920 divisors, whose sum is σ = 3714593930772480. Its totient is φ = 186797425950720.

The previous prime is 926407323376009. The next prime is 926407323376081. The reversal of 926407323376080 is 80673323704629.

It is a super-2 number, since 2×926407323376080² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (926407323376081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 528469664484 + ... + 528469666236.

It is an arithmetic number, because the mean of its divisors is an integer number (1934684338944).

Almost surely, 2^{926407323376080} 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 926407323376080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857296965386240).

926407323376080 is an abundant number, since it is smaller than the sum of its proper divisors (2788186607396400).

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

926407323376080 is a wasteful number, since it uses less digits than its factorization.

926407323376080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 60.

The spelling of 926407323376080 in words is "nine hundred twenty-six trillion, four hundred seven billion, three hundred twenty-three million, three hundred seventy-six thousand, eighty".