7919564928 has 128 divisors (see below), whose sum is σ = 23272842240. Its totient is φ = 2365977600.

The previous prime is 7919564927. The next prime is 7919564951. The reversal of 7919564928 is 8294659197.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (7919564923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 286701 + ... + 313107.

It is an arithmetic number, because the mean of its divisors is an integer number (181819080).

Almost surely, 2^7919564928 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 7919564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636421120).

7919564928 is an abundant number, since it is smaller than the sum of its proper divisors (15353277312).

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

7919564928 is a wasteful number, since it uses less digits than its factorization.

7919564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26506 (or 26494 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 60.

The square root of 7919564928 is about 88991.9374325562. The cubic root of 7919564928 is about 1993.2744864179.

The spelling of 7919564928 in words is "seven billion, nine hundred nineteen million, five hundred sixty-four thousand, nine hundred twenty-eight".