6277049856 has 320 divisors, whose sum is σ = 23169231360. Its totient is φ = 1630126080.

The previous prime is 6277049843. The next prime is 6277049869. The reversal of 6277049856 is 6589407726.

6277049856 is a `hidden beast` number, since 627 + 7 + 0 + 4 + 9 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6277049843) and next prime (6277049869).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061500 + ... + 1067396.

It is an arithmetic number, because the mean of its divisors is an integer number (72403848).

Almost surely, 2^6277049856 is an apocalyptic number.

6277049856 is a gapful number since it is divisible by the number (66) 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 6277049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584615680).

6277049856 is an abundant number, since it is smaller than the sum of its proper divisors (16892181504).

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

6277049856 is a wasteful number, since it uses less digits than its factorization.

6277049856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6277049856 is about 79227.8351086283. The cubic root of 6277049856 is about 1844.6693253631.

The spelling of 6277049856 in words is "six billion, two hundred seventy-seven million, forty-nine thousand, eight hundred fifty-six".