6407409840 has 240 divisors, whose sum is σ = 22113522144. Its totient is φ = 1525616640.

The previous prime is 6407409821. The next prime is 6407409857. The reversal of 6407409840 is 489047046.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 6407409792 and 6407409801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2997252 + ... + 2999388.

Almost surely, 2^6407409840 is an apocalyptic number.

6407409840 is a gapful number since it is divisible by the number (60) 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 6407409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11056761072).

6407409840 is an abundant number, since it is smaller than the sum of its proper divisors (15706112304).

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

6407409840 is a wasteful number, since it uses less digits than its factorization.

6407409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 6407409840 is about 80046.2981030353. The cubic root of 6407409840 is about 1857.3517868973.

The spelling of 6407409840 in words is "six billion, four hundred seven million, four hundred nine thousand, eight hundred forty".