7929426960 has 1200 divisors, whose sum is σ = 36853484976. Its totient is φ = 1560674304.

The previous prime is 7929426941. The next prime is 7929426961. The reversal of 7929426960 is 696249297.

It can be written as a sum of positive squares in 8 ways, for example, as 1467196416 + 6462230544 = 38304^2 + 80388^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7929426897 and 7929426906.

It is not an unprimeable number, because it can be changed into a prime (7929426961) 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 239 ways as a sum of consecutive naturals, for example, 70171864 + ... + 70171976.

Almost surely, 2^7929426960 is an apocalyptic number.

7929426960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7929426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426742488).

7929426960 is an abundant number, since it is smaller than the sum of its proper divisors (28924058016).

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

7929426960 is a wasteful number, since it uses less digits than its factorization.

7929426960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 7929426960 is about 89047.3298869764. The cubic root of 7929426960 is about 1994.1015344872.

The spelling of 7929426960 in words is "seven billion, nine hundred twenty-nine million, four hundred twenty-six thousand, nine hundred sixty".