4766556430080 has 216 divisors, whose sum is σ = 17102596837872. Its totient is φ = 1271081631744.

The previous prime is 4766556430073. The next prime is 4766556430081. The reversal of 4766556430080 is 800346556674.

4766556430080 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 556 + 4 + 3 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×4766556430080² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4766556429999 and 4766556430026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766556430081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7351249 + ... + 7973328.

Almost surely, 2^{4766556430080} is an apocalyptic number.

4766556430080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4766556430080 is an abundant number, since it is smaller than the sum of its proper divisors (12336040407792).

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

4766556430080 is an equidigital number, since it uses as much as digits as its factorization.

4766556430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15324613 (or 15324587 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4766556430080 in words is "four trillion, seven hundred sixty-six billion, five hundred fifty-six million, four hundred thirty thousand, eighty".