4023642672 has 120 divisors (see below), whose sum is σ = 12937267200. Its totient is φ = 1143538560.

The previous prime is 4023642661. The next prime is 4023642691. The reversal of 4023642672 is 2762463204.

4023642672 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 642 + 6 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182079 + ... + 202977.

It is an arithmetic number, because the mean of its divisors is an integer number (107810560).

Almost surely, 2^4023642672 is an apocalyptic number.

4023642672 is a gapful number since it is divisible by the number (42) 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 4023642672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468633600).

4023642672 is an abundant number, since it is smaller than the sum of its proper divisors (8913624528).

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

4023642672 is a wasteful number, since it uses less digits than its factorization.

4023642672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21111 (or 21102 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4023642672 is about 63432.1895570380. The cubic root of 4023642672 is about 1590.5224437190.

The spelling of 4023642672 in words is "four billion, twenty-three million, six hundred forty-two thousand, six hundred seventy-two".