6410874624 has 432 divisors, whose sum is σ = 22951143936. Its totient is φ = 1565491200.

The previous prime is 6410874623. The next prime is 6410874629. The reversal of 6410874624 is 4264780146.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6410874623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7036729 + ... + 7037639.

It is an arithmetic number, because the mean of its divisors is an integer number (53127648).

Almost surely, 2^6410874624 is an apocalyptic number.

6410874624 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 6410874624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475571968).

6410874624 is an abundant number, since it is smaller than the sum of its proper divisors (16540269312).

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

6410874624 is a wasteful number, since it uses less digits than its factorization.

6410874624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 6410874624 is about 80067.9375530555. The cubic root of 6410874624 is about 1857.6865120204.

The spelling of 6410874624 in words is "six billion, four hundred ten million, eight hundred seventy-four thousand, six hundred twenty-four".