6277906404 has 384 divisors, whose sum is σ = 21722480640. Its totient is φ = 1530524160.

The previous prime is 6277906381. The next prime is 6277906501. The reversal of 6277906404 is 4046097726.

It is a super-2 number, since 2×6277906404² = 78824217634768422432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6277906404.

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 127 ways as a sum of consecutive naturals, for example, 17105829 + ... + 17106195.

It is an arithmetic number, because the mean of its divisors is an integer number (56568960).

Almost surely, 2^6277906404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6277906404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10861240320).

6277906404 is an abundant number, since it is smaller than the sum of its proper divisors (15444574236).

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

6277906404 is a wasteful number, since it uses less digits than its factorization.

6277906404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6277906404 is about 79233.2405244163. The cubic root of 6277906404 is about 1844.7532276205.

The spelling of 6277906404 in words is "six billion, two hundred seventy-seven million, nine hundred six thousand, four hundred four".