7352804160 has 280 divisors, whose sum is σ = 28168448616. Its totient is φ = 1809838080.

The previous prime is 7352804047. The next prime is 7352804227. The reversal of 7352804160 is 614082537.

7352804160 is a `hidden beast` number, since 73 + 528 + 0 + 4 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219988224 + 7132815936 = 14832^2 + 84456^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326050 + ... + 347870.

Almost surely, 2^7352804160 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 7352804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084224308).

7352804160 is an abundant number, since it is smaller than the sum of its proper divisors (20815644456).

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

7352804160 is a wasteful number, since it uses less digits than its factorization.

7352804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21863 (or 21844 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7352804160 is about 85748.4936310837. The cubic root of 7352804160 is about 1944.5435151505.

Adding to 7352804160 its reverse (614082537), we get a palindrome (7966886697).

The spelling of 7352804160 in words is "seven billion, three hundred fifty-two million, eight hundred four thousand, one hundred sixty".