7332461136 has 720 divisors, whose sum is σ = 28866277440. Its totient is φ = 1717148160.

The previous prime is 7332461113. The next prime is 7332461161. The reversal of 7332461136 is 6311642337.

7332461136 is a `hidden beast` number, since 7 + 3 + 3 + 2 + 4 + 611 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7332461136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170522331 + ... + 170522373.

It is an arithmetic number, because the mean of its divisors is an integer number (40092052).

Almost surely, 2^7332461136 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 7332461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433138720).

7332461136 is an abundant number, since it is smaller than the sum of its proper divisors (21533816304).

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

7332461136 is a wasteful number, since it uses less digits than its factorization.

7332461136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 79 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 7332461136 is about 85629.7911710638. The cubic root of 7332461136 is about 1942.7485340630.

The spelling of 7332461136 in words is "seven billion, three hundred thirty-two million, four hundred sixty-one thousand, one hundred thirty-six".