6374431440 has 240 divisors, whose sum is σ = 23177922768. Its totient is φ = 1560674304.

The previous prime is 6374431411. The next prime is 6374431493. The reversal of 6374431440 is 441344736.

6374431440 is a `hidden beast` number, since 637 + 4 + 4 + 3 + 14 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 478034496 + 5896396944 = 21864^2 + 76788^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6374431395 and 6374431404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1842192 + ... + 1845648.

Almost surely, 2^6374431440 is an apocalyptic number.

6374431440 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 6374431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11588961384).

6374431440 is an abundant number, since it is smaller than the sum of its proper divisors (16803491328).

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

6374431440 is a wasteful number, since it uses less digits than its factorization.

6374431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6374431440 is about 79840.0365731379. The cubic root of 6374431440 is about 1854.1597597308.

The spelling of 6374431440 in words is "six billion, three hundred seventy-four million, four hundred thirty-one thousand, four hundred forty".