6460416432 has 120 divisors (see below), whose sum is σ = 19170174816. Its totient is φ = 2023999488.

The previous prime is 6460416421. The next prime is 6460416437. The reversal of 6460416432 is 2346140646.

6460416432 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 4 + 1 + 643 + 2 = 666.

It is a super-2 number, since 2×6460416432² = 83473960949711221248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6460416437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2439333 + ... + 2441979.

Almost surely, 2^6460416432 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 6460416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585087408).

6460416432 is an abundant number, since it is smaller than the sum of its proper divisors (12709758384).

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

6460416432 is a wasteful number, since it uses less digits than its factorization.

6460416432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6460416432 is about 80376.7157328539. The cubic root of 6460416432 is about 1862.4595004151.

The spelling of 6460416432 in words is "six billion, four hundred sixty million, four hundred sixteen thousand, four hundred thirty-two".