6406655424 has 112 divisors (see below), whose sum is σ = 18843955200. Its totient is φ = 1907665920.

The previous prime is 6406655407. The next prime is 6406655459. The reversal of 6406655424 is 4245566046.

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, 35977 + ... + 118775.

It is an arithmetic number, because the mean of its divisors is an integer number (168249600).

Almost surely, 2^6406655424 is an apocalyptic number.

6406655424 is a gapful number since it is divisible by the number (64) 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 6406655424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9421977600).

6406655424 is an abundant number, since it is smaller than the sum of its proper divisors (12437299776).

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

6406655424 is a wasteful number, since it uses less digits than its factorization.

6406655424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82858 (or 82848 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 6406655424 is about 80041.5855914911. The cubic root of 6406655424 is about 1857.2788884387.

The spelling of 6406655424 in words is "six billion, four hundred six million, six hundred fifty-five thousand, four hundred twenty-four".