6372006144 has 144 divisors (see below), whose sum is σ = 19854925440. Its totient is φ = 1776107520.

The previous prime is 6372006107. The next prime is 6372006167. The reversal of 6372006144 is 4416002736.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205962 + ... + 234870.

Almost surely, 2^6372006144 is an apocalyptic number.

6372006144 is a gapful number since it is divisible by the number (64) 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 6372006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927462720).

6372006144 is an abundant number, since it is smaller than the sum of its proper divisors (13482919296).

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

6372006144 is a wasteful number, since it uses less digits than its factorization.

6372006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28976 (or 28962 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 6372006144 is about 79824.8466581678. The cubic root of 6372006144 is about 1853.9245776221.

The spelling of 6372006144 in words is "six billion, three hundred seventy-two million, six thousand, one hundred forty-four".