7962349824 has 405 divisors, whose sum is σ = 27336961379. Its totient is φ = 2227230720.

The previous prime is 7962349819. The next prime is 7962349873. The reversal of 7962349824 is 4289432697.

The square root of 7962349824 is 89232.

It is a perfect power (a square), and thus also a powerful number.

7962349824 is a `hidden beast` number, since 7 + 9 + 623 + 4 + 9 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3947860224 + 4014489600 = 62832^2 + 63360^2 .

Its product of digits (5225472) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 612488442 + ... + 612488454.

Almost surely, 2^7962349824 is an apocalyptic number.

7962349824 is the 89232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7962349824

7962349824 is an abundant number, since it is smaller than the sum of its proper divisors (19374611555).

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

7962349824 is an equidigital number, since it uses as much as digits as its factorization.

7962349824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 29 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The cubic root of 7962349824 is about 1996.8575504246.

The spelling of 7962349824 in words is "seven billion, nine hundred sixty-two million, three hundred forty-nine thousand, eight hundred twenty-four".