6477712862220 has 36 divisors (see below), whose sum is σ = 19649062349280. Its totient is φ = 1727390096544.

The previous prime is 6477712862167. The next prime is 6477712862273. The reversal of 6477712862220 is 222682177746.

6477712862220 is a `hidden beast` number, since 6 + 4 + 7 + 7 + 7 + 1 + 2 + 8 + 622 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6477712862167) and next prime (6477712862273).

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17993646660 + ... + 17993647019.

It is an arithmetic number, because the mean of its divisors is an integer number (545807287480).

Almost surely, 2^{6477712862220} is an apocalyptic number.

6477712862220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6477712862220 is an abundant number, since it is smaller than the sum of its proper divisors (13171349487060).

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

6477712862220 is a wasteful number, since it uses less digits than its factorization.

6477712862220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35987293694 (or 35987293689 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 6477712862220 in words is "six trillion, four hundred seventy-seven billion, seven hundred twelve million, eight hundred sixty-two thousand, two hundred twenty".