6462868440 has 256 divisors, whose sum is σ = 23749355520. Its totient is φ = 1374658560.

The previous prime is 6462868409. The next prime is 6462868459. The reversal of 6462868440 is 448682646.

It is a self number, because there is not a number n which added to its sum of digits gives 6462868440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710320 + ... + 719360.

It is an arithmetic number, because the mean of its divisors is an integer number (92770920).

Almost surely, 2^6462868440 is an apocalyptic number.

6462868440 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 6462868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874677760).

6462868440 is an abundant number, since it is smaller than the sum of its proper divisors (17286487080).

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

6462868440 is a wasteful number, since it uses less digits than its factorization.

6462868440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The square root of 6462868440 is about 80391.9675091983. The cubic root of 6462868440 is about 1862.6950986412.

The spelling of 6462868440 in words is "six billion, four hundred sixty-two million, eight hundred sixty-eight thousand, four hundred forty".