4666973455872 has 1280 divisors, whose sum is σ = 18517314816000. Its totient is φ = 1125692080128.

The previous prime is 4666973455861. The next prime is 4666973455883. The reversal of 4666973455872 is 2785543796664.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4666973455861) and next prime (4666973455883).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4666973455872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 693145818 + ... + 693152550.

It is an arithmetic number, because the mean of its divisors is an integer number (14466652200).

Almost surely, 2^{4666973455872} is an apocalyptic number.

4666973455872 is a gapful number since it is divisible by the number (42) 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 4666973455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258657408000).

4666973455872 is an abundant number, since it is smaller than the sum of its proper divisors (13850341360128).

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

4666973455872 is a wasteful number, since it uses less digits than its factorization.

4666973455872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6806 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 4666973455872 in words is "four trillion, six hundred sixty-six billion, nine hundred seventy-three million, four hundred fifty-five thousand, eight hundred seventy-two".