4670679820800 has 480 divisors, whose sum is σ = 18008713654272. Its totient is φ = 1044866580480.

The previous prime is 4670679820759. The next prime is 4670679820867. The reversal of 4670679820800 is 80289760764.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4670679820800² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 12448749 + ... + 12818451.

Almost surely, 2^{4670679820800} is an apocalyptic number.

4670679820800 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 4670679820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004356827136).

4670679820800 is an abundant number, since it is smaller than the sum of its proper divisors (13338033833472).

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

4670679820800 is a wasteful number, since it uses less digits than its factorization.

4670679820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369788 (or 369767 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 4670679820800 in words is "four trillion, six hundred seventy billion, six hundred seventy-nine million, eight hundred twenty thousand, eight hundred".