8067597973920 has 384 divisors, whose sum is σ = 29739884832000. Its totient is φ = 2036953681920.

The previous prime is 8067597973859. The next prime is 8067597973921. The reversal of 8067597973920 is 293797957608.

8067597973920 is a `hidden beast` number, since 8 + 0 + 6 + 7 + 597 + 9 + 7 + 3 + 9 + 20 = 666.

It is a super-2 number, since 2×8067597973920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8067597973921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146813650 + ... + 146868590.

It is an arithmetic number, because the mean of its divisors is an integer number (77447616750).

Almost surely, 2^{8067597973920} is an apocalyptic number.

8067597973920 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 8067597973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869942416000).

8067597973920 is an abundant number, since it is smaller than the sum of its proper divisors (21672286858080).

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

8067597973920 is a wasteful number, since it uses less digits than its factorization.

8067597973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56773 (or 56759 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 8067597973920 in words is "eight trillion, sixty-seven billion, five hundred ninety-seven million, nine hundred seventy-three thousand, nine hundred twenty".