4086672379680 has 192 divisors, whose sum is σ = 14496302370816. Its totient is φ = 958750080000.

The previous prime is 4086672379619. The next prime is 4086672379697. The reversal of 4086672379680 is 869732766804.

4086672379680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4086672379680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12320046 + ... + 12647405.

It is an arithmetic number, because the mean of its divisors is an integer number (75501574848).

Almost surely, 2^{4086672379680} is an apocalyptic number.

4086672379680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4086672379680 is an abundant number, since it is smaller than the sum of its proper divisors (10409629991136).

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

4086672379680 is a wasteful number, since it uses less digits than its factorization.

4086672379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24967511 (or 24967503 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 4086672379680 in words is "four trillion, eighty-six billion, six hundred seventy-two million, three hundred seventy-nine thousand, six hundred eighty".