4666721740800 has 864 divisors, whose sum is σ = 18286478028000. Its totient is φ = 1046463774720.

The previous prime is 4666721740753. The next prime is 4666721740841. The reversal of 4666721740800 is 80471276664.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398893351 + ... + 398905049.

It is an arithmetic number, because the mean of its divisors is an integer number (21164905125).

Almost surely, 2^{4666721740800} is an apocalyptic number.

4666721740800 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 4666721740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143239014000).

4666721740800 is an abundant number, since it is smaller than the sum of its proper divisors (13619756287200).

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

4666721740800 is a wasteful number, since it uses less digits than its factorization.

4666721740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11801 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 4666721740800 in words is "four trillion, six hundred sixty-six billion, seven hundred twenty-one million, seven hundred forty thousand, eight hundred".