7949526816 has 384 divisors, whose sum is σ = 26900729856. Its totient is φ = 1996001280.

The previous prime is 7949526803. The next prime is 7949526817. The reversal of 7949526816 is 6186259497.

Its product of digits (6531840) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (7949526817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40352830 + ... + 40353026.

It is an arithmetic number, because the mean of its divisors is an integer number (70053984).

Almost surely, 2^7949526816 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 7949526816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450364928).

7949526816 is an abundant number, since it is smaller than the sum of its proper divisors (18951203040).

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

7949526816 is a wasteful number, since it uses less digits than its factorization.

7949526816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The square root of 7949526816 is about 89160.1189770404. The cubic root of 7949526816 is about 1995.7850245647.

The spelling of 7949526816 in words is "seven billion, nine hundred forty-nine million, five hundred twenty-six thousand, eight hundred sixteen".