6652562400 has 1008 divisors, whose sum is σ = 28586951568. Its totient is φ = 1492992000.

The previous prime is 6652562393. The next prime is 6652562419. The reversal of 6652562400 is 42652566.

6652562400 is a `hidden beast` number, since 6 + 6 + 5 + 25 + 624 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 109058370 + ... + 109058430.

It is an arithmetic number, because the mean of its divisors is an integer number (28360071).

Almost surely, 2^6652562400 is an apocalyptic number.

6652562400 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 6652562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293475784).

6652562400 is an abundant number, since it is smaller than the sum of its proper divisors (21934389168).

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

6652562400 is a wasteful number, since it uses less digits than its factorization.

6652562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6652562400 is about 81563.2417207654. The cubic root of 6652562400 is about 1880.7438583479.

The spelling of 6652562400 in words is "six billion, six hundred fifty-two million, five hundred sixty-two thousand, four hundred".