6374962440 has 960 divisors, whose sum is σ = 28364878080. Its totient is φ = 1254528000.

The previous prime is 6374962423. The next prime is 6374962457. The reversal of 6374962440 is 442694736.

It is a happy number.

6374962440 is a `hidden beast` number, since 637 + 4 + 9 + 6 + 2 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6374962423) and next prime (6374962457).

It is a super-2 number, since 2×6374962440² = 81280292222821507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63118390 + ... + 63118490.

It is an arithmetic number, because the mean of its divisors is an integer number (29546748).

Almost surely, 2^6374962440 is an apocalyptic number.

6374962440 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 6374962440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182439040).

6374962440 is an abundant number, since it is smaller than the sum of its proper divisors (21989915640).

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

6374962440 is a wasteful number, since it uses less digits than its factorization.

6374962440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6374962440 is about 79843.3619031664. The cubic root of 6374962440 is about 1854.2112430933.

It can be divided in two parts, 637496 and 2440, that added together give a palindrome (639936).

The spelling of 6374962440 in words is "six billion, three hundred seventy-four million, nine hundred sixty-two thousand, four hundred forty".