6642472200 has 576 divisors, whose sum is σ = 26827032960. Its totient is φ = 1323786240.

The previous prime is 6642472159. The next prime is 6642472211. The reversal of 6642472200 is 22742466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19710432 + ... + 19710768.

It is an arithmetic number, because the mean of its divisors is an integer number (46574710).

Almost surely, 2^6642472200 is an apocalyptic number.

6642472200 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 6642472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413516480).

6642472200 is an abundant number, since it is smaller than the sum of its proper divisors (20184560760).

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

6642472200 is a wasteful number, since it uses less digits than its factorization.

6642472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 6642472200 is about 81501.3631787837. The cubic root of 6642472200 is about 1879.7925114304.

The spelling of 6642472200 in words is "six billion, six hundred forty-two million, four hundred seventy-two thousand, two hundred".