7132815936 has 441 divisors, whose sum is σ = 23566082281. Its totient is φ = 2140452864.

The previous prime is 7132815929. The next prime is 7132815979. The reversal of 7132815936 is 6395182317.

The square root of 7132815936 is 84456.

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

It can be written as a sum of positive squares in only one way, i.e., 5553230400 + 1579585536 = 74520^2 + 39744^2 .

It is a Duffinian number.

Its product of digits (272160) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 7132815891 and 7132815900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 310122421 + ... + 310122443.

Almost surely, 2^7132815936 is an apocalyptic number.

7132815936 is the 84456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7132815936

7132815936 is an abundant number, since it is smaller than the sum of its proper divisors (16433266345).

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

7132815936 is an equidigital number, since it uses as much as digits as its factorization.

7132815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 45 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The cubic root of 7132815936 is about 1924.9539257877.

The spelling of 7132815936 in words is "seven billion, one hundred thirty-two million, eight hundred fifteen thousand, nine hundred thirty-six".