6401150064 has 200 divisors, whose sum is σ = 18974658560. Its totient is φ = 2082817152.

The previous prime is 6401150059. The next prime is 6401150069. The reversal of 6401150064 is 4600511046.

6401150064 is a `hidden beast` number, since 640 + 1 + 15 + 0 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6401150059) and next prime (6401150069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401150069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10545249 + ... + 10545855.

Almost surely, 2^6401150064 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 6401150064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487329280).

6401150064 is an abundant number, since it is smaller than the sum of its proper divisors (12573508496).

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

6401150064 is a wasteful number, since it uses less digits than its factorization.

6401150064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6401150064 is about 80007.1875771171. The cubic root of 6401150064 is about 1856.7467377056.

The spelling of 6401150064 in words is "six billion, four hundred one million, one hundred fifty thousand, sixty-four".