7984515664 has 80 divisors (see below), whose sum is σ = 16772140800. Its totient is φ = 3667894272.

The previous prime is 7984515653. The next prime is 7984515689. The reversal of 7984515664 is 4665154897.

It is a super-2 number, since 2×7984515664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7912792 + ... + 7913800.

It is an arithmetic number, because the mean of its divisors is an integer number (209651760).

Almost surely, 2^7984515664 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 7984515664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386070400).

7984515664 is an abundant number, since it is smaller than the sum of its proper divisors (8787625136).

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

7984515664 is a wasteful number, since it uses less digits than its factorization.

7984515664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1694 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The square root of 7984515664 is about 89356.1171045385. The cubic root of 7984515664 is about 1998.7088052541.

The spelling of 7984515664 in words is "seven billion, nine hundred eighty-four million, five hundred fifteen thousand, six hundred sixty-four".