7961006592 has 560 divisors, whose sum is σ = 29840893632. Its totient is φ = 2060328960.

The previous prime is 7961006591. The next prime is 7961006671. The reversal of 7961006592 is 2956001697.

It is a happy number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 7961006592 = 384³ + 1992³ = 1548³ + 1620³.

It is not an unprimeable number, because it can be changed into a prime (7961006591) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28739958 + ... + 28740234.

Almost surely, 2^7961006592 is an apocalyptic number.

7961006592 is a gapful number since it is divisible by the number (72) 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 7961006592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14920446816).

7961006592 is an abundant number, since it is smaller than the sum of its proper divisors (21879887040).

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

7961006592 is an equidigital number, since it uses as much as digits as its factorization.

7961006592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 7961006592 is about 89224.4730553227. The cubic root of 7961006592 is about 1996.7452555258.

The spelling of 7961006592 in words is "seven billion, nine hundred sixty-one million, six thousand, five hundred ninety-two".