6655046400 has 432 divisors, whose sum is σ = 25700438400. Its totient is φ = 1680445440.

The previous prime is 6655046399. The next prime is 6655046407. The reversal of 6655046400 is 46405566.

It is a happy number.

6655046400 is a `hidden beast` number, since 6 + 6 + 5 + 5 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6655046407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3282187 + ... + 3284213.

Almost surely, 2^6655046400 is an apocalyptic number.

6655046400 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 6655046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850219200).

6655046400 is an abundant number, since it is smaller than the sum of its proper divisors (19045392000).

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

6655046400 is a wasteful number, since it uses less digits than its factorization.

6655046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2056 counting only the distinct ones).

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

The square root of 6655046400 is about 81578.4677473168. The cubic root of 6655046400 is about 1880.9779128430.

The spelling of 6655046400 in words is "six billion, six hundred fifty-five million, forty-six thousand, four hundred".