8379624960 has 800 divisors, whose sum is σ = 35934700032. Its totient is φ = 1824768000.

The previous prime is 8379624941. The next prime is 8379624997. The reversal of 8379624960 is 694269738.

It is a happy number.

8379624960 is a `hidden beast` number, since 8 + 3 + 7 + 9 + 624 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×8379624960² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8379624897 and 8379624906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33384835 + ... + 33385085.

Almost surely, 2^8379624960 is an apocalyptic number.

8379624960 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 8379624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967350016).

8379624960 is an abundant number, since it is smaller than the sum of its proper divisors (27555075072).

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

8379624960 is a wasteful number, since it uses less digits than its factorization.

8379624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 8379624960 is about 91540.2914568224. The cubic root of 8379624960 is about 2031.1478022776.

The spelling of 8379624960 in words is "eight billion, three hundred seventy-nine million, six hundred twenty-four thousand, nine hundred sixty".