5674764484800 has 210 divisors, whose sum is σ = 20859007274028. Its totient is φ = 1513270494720.

The previous prime is 5674764484771. The next prime is 5674764484801. The reversal of 5674764484800 is 84844674765.

5674764484800 is a `hidden beast` number, since 5 + 6 + 7 + 4 + 76 + 4 + 484 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5674764484801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21763782 + ... + 22022981.

Almost surely, 2^{5674764484800} is an apocalyptic number.

5674764484800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5674764484800 is an abundant number, since it is smaller than the sum of its proper divisors (15184242789228).

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

5674764484800 is a wasteful number, since it uses less digits than its factorization.

5674764484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43786797 (or 43786773 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 5674764484800 in words is "five trillion, six hundred seventy-four billion, seven hundred sixty-four million, four hundred eighty-four thousand, eight hundred".