6401413968 has 80 divisors (see below), whose sum is σ = 17034868032. Its totient is φ = 2070144000.

The previous prime is 6401413957. The next prime is 6401413987. The reversal of 6401413968 is 8693141046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347223 + ... + 365193.

Almost surely, 2^6401413968 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 6401413968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517434016).

6401413968 is an abundant number, since it is smaller than the sum of its proper divisors (10633454064).

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

6401413968 is a wasteful number, since it uses less digits than its factorization.

6401413968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18204 (or 18198 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6401413968 is about 80008.8368119422. The cubic root of 6401413968 is about 1856.7722537536.

The spelling of 6401413968 in words is "six billion, four hundred one million, four hundred thirteen thousand, nine hundred sixty-eight".