7927298496 has 448 divisors, whose sum is σ = 26695603200. Its totient is φ = 2288259072.

The previous prime is 7927298453. The next prime is 7927298501. The reversal of 7927298496 is 6948927297.

7927298496 is a `hidden beast` number, since 79 + 2 + 72 + 9 + 8 + 496 = 666.

It is a super-3 number, since 3×7927298496³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34616910 + ... + 34617138.

It is an arithmetic number, because the mean of its divisors is an integer number (59588400).

Almost surely, 2^7927298496 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 7927298496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347801600).

7927298496 is an abundant number, since it is smaller than the sum of its proper divisors (18768304704).

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

7927298496 is a wasteful number, since it uses less digits than its factorization.

7927298496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 7927298496 is about 89035.3777776003. The cubic root of 7927298496 is about 1993.9230956511.

The spelling of 7927298496 in words is "seven billion, nine hundred twenty-seven million, two hundred ninety-eight thousand, four hundred ninety-six".