6410089224 has 576 divisors, whose sum is σ = 24051081600. Its totient is φ = 1560176640.

The previous prime is 6410089183. The next prime is 6410089271. The reversal of 6410089224 is 4229800146.

6410089224 is a `hidden beast` number, since 641 + 0 + 0 + 8 + 9 + 2 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27991542 + ... + 27991770.

It is an arithmetic number, because the mean of its divisors is an integer number (41755350).

Almost surely, 2^6410089224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6410089224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12025540800).

6410089224 is an abundant number, since it is smaller than the sum of its proper divisors (17640992376).

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

6410089224 is a wasteful number, since it uses less digits than its factorization.

6410089224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6410089224 is about 80063.0328178992. The cubic root of 6410089224 is about 1857.6106468352.

The spelling of 6410089224 in words is "six billion, four hundred ten million, eighty-nine thousand, two hundred twenty-four".