4672040375664 has 80 divisors (see below), whose sum is σ = 13412870583840. Its totient is φ = 1557069903360.

The previous prime is 4672040375657. The next prime is 4672040375669. The reversal of 4672040375664 is 4665730402764.

4672040375664 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 0 + 40 + 37 + 566 + 4 = 666.

It is a super-2 number, since 2×4672040375664² (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 a self number, because there is not a number n which added to its sum of digits gives 4672040375664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672040375669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1478314 + ... + 3395510.

It is an arithmetic number, because the mean of its divisors is an integer number (167660882298).

Almost surely, 2^{4672040375664} is an apocalyptic number.

It is an amenable number.

4672040375664 is an abundant number, since it is smaller than the sum of its proper divisors (8740830208176).

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

4672040375664 is a wasteful number, since it uses less digits than its factorization.

4672040375664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922855 (or 1922843 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 4672040375664 in words is "four trillion, six hundred seventy-two billion, forty million, three hundred seventy-five thousand, six hundred sixty-four".