4164426672 has 80 divisors (see below), whose sum is σ = 12304212480. Its totient is φ = 1188942336.

The previous prime is 4164426659. The next prime is 4164426689. The reversal of 4164426672 is 2766244614.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 536773 + ... + 544475.

It is an arithmetic number, because the mean of its divisors is an integer number (153802656).

Almost surely, 2^4164426672 is an apocalyptic number.

4164426672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4164426672 is an abundant number, since it is smaller than the sum of its proper divisors (8139785808).

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

4164426672 is a wasteful number, since it uses less digits than its factorization.

4164426672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9324 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 4164426672 is about 64532.3691801254. The cubic root of 4164426672 is about 1608.8605638439.

The spelling of 4164426672 in words is "four billion, one hundred sixty-four million, four hundred twenty-six thousand, six hundred seventy-two".