7905699360 has 768 divisors, whose sum is σ = 32514048000. Its totient is φ = 1776660480.

The previous prime is 7905699353. The next prime is 7905699401. The reversal of 7905699360 is 639965097.

7905699360 is a `hidden beast` number, since 79 + 0 + 569 + 9 + 3 + 6 + 0 = 666.

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 = 7905699297 and 7905699306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33078121 + ... + 33078359.

It is an arithmetic number, because the mean of its divisors is an integer number (42336000).

Almost surely, 2^7905699360 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 7905699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024000).

7905699360 is an abundant number, since it is smaller than the sum of its proper divisors (24608348640).

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

7905699360 is a wasteful number, since it uses less digits than its factorization.

7905699360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 7905699360 is about 88913.9997975572. Note that the first 3 decimals coincide. The cubic root of 7905699360 is about 1992.1105324063.

The spelling of 7905699360 in words is "seven billion, nine hundred five million, six hundred ninety-nine thousand, three hundred sixty".