6532972800 has 432 divisors, whose sum is σ = 22716754368. Its totient is φ = 1651507200.

The previous prime is 6532972781. The next prime is 6532972813. The reversal of 6532972800 is 82792356.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33849504 + ... + 33849696.

Almost surely, 2^6532972800 is an apocalyptic number.

6532972800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6532972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11358377184).

6532972800 is an abundant number, since it is smaller than the sum of its proper divisors (16183781568).

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

6532972800 is a wasteful number, since it uses less digits than its factorization.

6532972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6532972800 is about 80826.8074341675. The cubic root of 6532972800 is about 1869.4059329075.

The spelling of 6532972800 in words is "six billion, five hundred thirty-two million, nine hundred seventy-two thousand, eight hundred".