6412234560 has 224 divisors, whose sum is σ = 20712257280. Its totient is φ = 1680556032.

The previous prime is 6412234559. The next prime is 6412234597. The reversal of 6412234560 is 654322146.

It is a super-2 number, since 2×6412234560² = 82233504104916787200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24380989 + ... + 24381251.

Almost surely, 2^6412234560 is an apocalyptic number.

6412234560 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 6412234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356128640).

6412234560 is an abundant number, since it is smaller than the sum of its proper divisors (14300022720).

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

6412234560 is a wasteful number, since it uses less digits than its factorization.

6412234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 6412234560 is about 80076.4294908308. The cubic root of 6412234560 is about 1857.8178594728.

The spelling of 6412234560 in words is "six billion, four hundred twelve million, two hundred thirty-four thousand, five hundred sixty".