8322513937920 has 2560 divisors, whose sum is σ = 37507599360000. Its totient is φ = 1702727516160.

The previous prime is 8322513937853. The next prime is 8322513937937. The reversal of 8322513937920 is 297393152238.

8322513937920 is a `hidden beast` number, since 8 + 3 + 2 + 2 + 513 + 9 + 37 + 92 + 0 = 666.

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

It is a super-2 number, since 2×8322513937920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41821677981 + ... + 41821678179.

It is an arithmetic number, because the mean of its divisors is an integer number (14651406000).

Almost surely, 2^{8322513937920} is an apocalyptic number.

8322513937920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8322513937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753799680000).

8322513937920 is an abundant number, since it is smaller than the sum of its proper divisors (29185085422080).

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

8322513937920 is a wasteful number, since it uses less digits than its factorization.

8322513937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 8322513937920 in words is "eight trillion, three hundred twenty-two billion, five hundred thirteen million, nine hundred thirty-seven thousand, nine hundred twenty".