7929492480 has 1056 divisors, whose sum is σ = 35479062528. Its totient is φ = 1592524800.

The previous prime is 7929492413. The next prime is 7929492499. The reversal of 7929492480 is 842949297.

7929492480 is a `hidden beast` number, since 79 + 2 + 9 + 4 + 92 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129991650 + ... + 129991710.

It is a vampire number, since it can be written as 79422 ⋅ 99840 (with its own digits).

Almost surely, 2^7929492480 is an apocalyptic number.

7929492480 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 7929492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739531264).

7929492480 is an abundant number, since it is smaller than the sum of its proper divisors (27549570048).

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

7929492480 is a wasteful number, since it uses less digits than its factorization.

7929492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 7929492480 is about 89047.6977804592. The cubic root of 7929492480 is about 1994.1070268207.

The spelling of 7929492480 in words is "seven billion, nine hundred twenty-nine million, four hundred ninety-two thousand, four hundred eighty".