6375015648 has 72 divisors (see below), whose sum is σ = 18161613288. Its totient is φ = 2121176832.

The previous prime is 6375015601. The next prime is 6375015659. The reversal of 6375015648 is 8465105736.

6375015648 is a `hidden beast` number, since 6 + 37 + 50 + 1 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×6375015648³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142486 + ... + 181802.

It is an arithmetic number, because the mean of its divisors is an integer number (252244629).

Almost surely, 2^6375015648 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 6375015648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080806644).

6375015648 is an abundant number, since it is smaller than the sum of its proper divisors (11786597640).

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

6375015648 is a wasteful number, since it uses less digits than its factorization.

6375015648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39896 (or 39885 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6375015648 is about 79843.6951048735. The cubic root of 6375015648 is about 1854.2164017432.

The spelling of 6375015648 in words is "six billion, three hundred seventy-five million, fifteen thousand, six hundred forty-eight".