7165638720 has 336 divisors, whose sum is σ = 27473696640. Its totient is φ = 1703559168.

The previous prime is 7165638647. The next prime is 7165638749. The reversal of 7165638720 is 278365617.

7165638720 is a `hidden beast` number, since 7 + 1 + 6 + 5 + 638 + 7 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926389 + ... + 934091.

Almost surely, 2^7165638720 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 7165638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736848320).

7165638720 is an abundant number, since it is smaller than the sum of its proper divisors (20308057920).

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

7165638720 is a wasteful number, since it uses less digits than its factorization.

7165638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7165638720 is about 84650.0958062069. The cubic root of 7165638720 is about 1927.9020685667.

The spelling of 7165638720 in words is "seven billion, one hundred sixty-five million, six hundred thirty-eight thousand, seven hundred twenty".