7961358496 has 288 divisors, whose sum is σ = 20811022848. Its totient is φ = 2966906880.

The previous prime is 7961358467. The next prime is 7961358523. The reversal of 7961358496 is 6948531697.

It is a self number, because there is not a number n which added to its sum of digits gives 7961358496.

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 47 ways as a sum of consecutive naturals, for example, 27171726 + ... + 27172018.

It is an arithmetic number, because the mean of its divisors is an integer number (72260496).

Almost surely, 2^7961358496 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 7961358496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10405511424).

7961358496 is an abundant number, since it is smaller than the sum of its proper divisors (12849664352).

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

7961358496 is a wasteful number, since it uses less digits than its factorization.

7961358496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The square root of 7961358496 is about 89226.4450485393. The cubic root of 7961358496 is about 1996.7746761056.

The spelling of 7961358496 in words is "seven billion, nine hundred sixty-one million, three hundred fifty-eight thousand, four hundred ninety-six".