6532952400 has 960 divisors, whose sum is σ = 27553792000. Its totient is φ = 1455667200.

The previous prime is 6532952383. The next prime is 6532952429. The reversal of 6532952400 is 42592356.

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 191 ways as a sum of consecutive naturals, for example, 82695561 + ... + 82695639.

Almost surely, 2^6532952400 is an apocalyptic number.

6532952400 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 6532952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776896000).

6532952400 is an abundant number, since it is smaller than the sum of its proper divisors (21020839600).

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

6532952400 is a wasteful number, since it uses less digits than its factorization.

6532952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6532952400 is about 80826.6812383139. The cubic root of 6532952400 is about 1869.4039870899.

The spelling of 6532952400 in words is "six billion, five hundred thirty-two million, nine hundred fifty-two thousand, four hundred".