7132536000 has 392 divisors, whose sum is σ = 26505127584. Its totient is φ = 1900454400.

The previous prime is 7132535941. The next prime is 7132536011. The reversal of 7132536000 is 6352317.

It is a happy number.

7132536000 is a `hidden beast` number, since 7 + 1 + 3 + 2 + 53 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5831389 + ... + 5832611.

Almost surely, 2^7132536000 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 7132536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252563792).

7132536000 is an abundant number, since it is smaller than the sum of its proper divisors (19372591584).

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

7132536000 is an equidigital number, since it uses as much as digits as its factorization.

7132536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 7132536000 is about 84454.3426947365. The cubic root of 7132536000 is about 1924.9287430755.

Adding to 7132536000 its reverse (6352317), we get a palindrome (7138888317).

The spelling of 7132536000 in words is "seven billion, one hundred thirty-two million, five hundred thirty-six thousand".