6642972 has 120 divisors (see below), whose sum is σ = 20734560. Its totient is φ = 1814400.

The previous prime is 6642919. The next prime is 6642991. The reversal of 6642972 is 2792466.

It is a happy number.

6642972 is a `hidden beast` number, since 6 + 642 + 9 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6⁶ + 6⁸ + 4⁴ + 2 + 9⁷ + 7⁴ + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65722 + ... + 65822.

It is an arithmetic number, because the mean of its divisors is an integer number (172788).

Almost surely, 2^6642972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367280).

6642972 is an abundant number, since it is smaller than the sum of its proper divisors (14091588).

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

6642972 is a wasteful number, since it uses less digits than its factorization.

6642972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 6642972 is about 2577.3963606710. The cubic root of 6642972 is about 187.9839657368.

The spelling of 6642972 in words is "six million, six hundred forty-two thousand, nine hundred seventy-two".