6401281320 has 192 divisors, whose sum is σ = 25174955520. Its totient is φ = 1377073152.

The previous prime is 6401281319. The next prime is 6401281321. The reversal of 6401281320 is 231821046.

6401281320 is a `hidden beast` number, since 64 + 0 + 1 + 281 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (6401281319) and next prime (6401281321).

It is not an unprimeable number, because it can be changed into a prime (6401281321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31872 + ... + 117551.

It is an arithmetic number, because the mean of its divisors is an integer number (131119560).

Almost surely, 2^6401281320 is an apocalyptic number.

6401281320 is a gapful number since it is divisible by the number (60) 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 6401281320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12587477760).

6401281320 is an abundant number, since it is smaller than the sum of its proper divisors (18773674200).

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

6401281320 is a wasteful number, since it uses less digits than its factorization.

6401281320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149464 (or 149457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6401281320 is about 80008.0078492147. The cubic root of 6401281320 is about 1856.7594285232.

The spelling of 6401281320 in words is "six billion, four hundred one million, two hundred eighty-one thousand, three hundred twenty".