7352985600 has 504 divisors, whose sum is σ = 27472675230. Its totient is φ = 1950842880.

The previous prime is 7352985599. The next prime is 7352985643. The reversal of 7352985600 is 65892537.

It is a happy number.

7352985600 is a `hidden beast` number, since 7 + 35 + 2 + 9 + 8 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7023780864 + 329204736 = 83808^2 + 18144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37324702 + ... + 37324898.

Almost surely, 2^7352985600 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 7352985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736337615).

7352985600 is an abundant number, since it is smaller than the sum of its proper divisors (20119689630).

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

7352985600 is an equidigital number, since it uses as much as digits as its factorization.

7352985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 7352985600 is about 85749.5516023262. The cubic root of 7352985600 is about 1944.5595097319.

The spelling of 7352985600 in words is "seven billion, three hundred fifty-two million, nine hundred eighty-five thousand, six hundred".