926342376960 has 2560 divisors, whose sum is σ = 4308204257280. Its totient is φ = 164472422400.

The previous prime is 926342376919. The next prime is 926342376961. The reversal of 926342376960 is 69673243629.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×926342376960² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 926342376960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (926342376961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29882012145 + ... + 29882012175.

It is an arithmetic number, because the mean of its divisors is an integer number (1682892288).

Almost surely, 2^926342376960 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 926342376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154102128640).

926342376960 is an abundant number, since it is smaller than the sum of its proper divisors (3381861880320).

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

926342376960 is a wasteful number, since it uses less digits than its factorization.

926342376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 57.

The spelling of 926342376960 in words is "nine hundred twenty-six billion, three hundred forty-two million, three hundred seventy-six thousand, nine hundred sixty".