7720947936 has 576 divisors, whose sum is σ = 26747884800. Its totient is φ = 2089156608.

The previous prime is 7720947917. The next prime is 7720947959. The reversal of 7720947936 is 6397490277.

It is a super-2 number, since 2×7720947936² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86752180 + ... + 86752268.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 2^7720947936 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 7720947936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373942400).

7720947936 is an abundant number, since it is smaller than the sum of its proper divisors (19026936864).

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

7720947936 is a wasteful number, since it uses less digits than its factorization.

7720947936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 7720947936 is about 87868.9247458964. The cubic root of 7720947936 is about 1976.4699145206.

The spelling of 7720947936 in words is "seven billion, seven hundred twenty million, nine hundred forty-seven thousand, nine hundred thirty-six".