6407777046 has 32 divisors (see below), whose sum is σ = 14588460288. Its totient is φ = 1857326240.

The previous prime is 6407776993. The next prime is 6407777059.

6407777046 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6407777046² = 82119213342488972232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6407776986 and 6407777004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109081 + ... + 2112116.

It is an arithmetic number, because the mean of its divisors is an integer number (455889384).

Almost surely, 2^6407777046 is an apocalyptic number.

6407777046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6407777046 is an abundant number, since it is smaller than the sum of its proper divisors (8180683242).

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

6407777046 is a wasteful number, since it uses less digits than its factorization.

6407777046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221236.

The product of its (nonzero) digits is 1382976, while the sum is 48.

The square root of 6407777046 is about 80048.5917802431. The cubic root of 6407777046 is about 1857.3872675730.

The spelling of 6407777046 in words is "six billion, four hundred seven million, seven hundred seventy-seven thousand, forty-six".