6401072316 has 72 divisors (see below), whose sum is σ = 15925392000. Its totient is φ = 1997307488.

The previous prime is 6401072311. The next prime is 6401072323. The reversal of 6401072316 is 6132701046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401072311) 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, 604435 + ... + 614933.

It is an arithmetic number, because the mean of its divisors is an integer number (221186000).

Almost surely, 2^6401072316 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 6401072316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962696000).

6401072316 is an abundant number, since it is smaller than the sum of its proper divisors (9524319684).

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

6401072316 is a wasteful number, since it uses less digits than its factorization.

6401072316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10623 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6401072316 is about 80006.7016942956. The cubic root of 6401072316 is about 1856.7392203622.

The spelling of 6401072316 in words is "six billion, four hundred one million, seventy-two thousand, three hundred sixteen".