6412435968 has 80 divisors (see below), whose sum is σ = 17101155456. Its totient is φ = 2135224320.

The previous prime is 6412435943. The next prime is 6412435969. The reversal of 6412435968 is 8695342146.

It is a super-2 number, since 2×6412435968² = 82238670087400194048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6412435969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2119705 + ... + 2122727.

Almost surely, 2^6412435968 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 6412435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550577728).

6412435968 is an abundant number, since it is smaller than the sum of its proper divisors (10688719488).

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

6412435968 is a wasteful number, since it uses less digits than its factorization.

6412435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4409 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 6412435968 is about 80077.6870794855. The cubic root of 6412435968 is about 1857.8373105944.

The spelling of 6412435968 in words is "six billion, four hundred twelve million, four hundred thirty-five thousand, nine hundred sixty-eight".