4472092645920 has 576 divisors, whose sum is σ = 16186631086080. Its totient is φ = 1165476584448.

The previous prime is 4472092645903. The next prime is 4472092645927. The reversal of 4472092645920 is 295462902744.

4472092645920 is a `hidden beast` number, since 4 + 4 + 7 + 20 + 9 + 26 + 4 + 592 + 0 = 666.

It is a super-2 number, since 2×4472092645920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4472092645927) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1679342509 + ... + 1679345171.

It is an arithmetic number, because the mean of its divisors is an integer number (28101790080).

Almost surely, 2^{4472092645920} is an apocalyptic number.

4472092645920 is a gapful number since it is divisible by the number (40) 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 4472092645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093315543040).

4472092645920 is an abundant number, since it is smaller than the sum of its proper divisors (11714538440160).

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

4472092645920 is a wasteful number, since it uses less digits than its factorization.

4472092645920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4472092645920 in words is "four trillion, four hundred seventy-two billion, ninety-two million, six hundred forty-five thousand, nine hundred twenty".