6401043264 has 252 divisors, whose sum is σ = 21658856352. Its totient is φ = 1662312960.

The previous prime is 6401043263. The next prime is 6401043301. The reversal of 6401043264 is 4623401046.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401043263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1135557 + ... + 1141179.

Almost surely, 2^6401043264 is an apocalyptic number.

6401043264 is a gapful number since it is divisible by the number (64) 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 6401043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829428176).

6401043264 is an abundant number, since it is smaller than the sum of its proper divisors (15257813088).

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

6401043264 is a wasteful number, since it uses less digits than its factorization.

6401043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6401043264 is about 80006.5201342991. The cubic root of 6401043264 is about 1856.7364113500.

The spelling of 6401043264 in words is "six billion, four hundred one million, forty-three thousand, two hundred sixty-four".