4666556620800 has 672 divisors, whose sum is σ = 18046962331200. Its totient is φ = 1178893025280.

The previous prime is 4666556620787. The next prime is 4666556620841. The reversal of 4666556620800 is 80266556664.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105040192 + ... + 105084608.

Almost surely, 2^{4666556620800} is an apocalyptic number.

4666556620800 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 4666556620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023481165600).

4666556620800 is an abundant number, since it is smaller than the sum of its proper divisors (13380405710400).

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

4666556620800 is a wasteful number, since it uses less digits than its factorization.

4666556620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44481 (or 44446 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4666556620800 in words is "four trillion, six hundred sixty-six billion, five hundred fifty-six million, six hundred twenty thousand, eight hundred".