6396141024 has 672 divisors, whose sum is σ = 24432274944. Its totient is φ = 1601233920.

The previous prime is 6396140983. The next prime is 6396141041. The reversal of 6396141024 is 4201416936.

6396141024 is a `hidden beast` number, since 6 + 3 + 9 + 614 + 10 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6396141024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48825439 + ... + 48825569.

It is an arithmetic number, because the mean of its divisors is an integer number (36357552).

Almost surely, 2^6396141024 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 6396141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216137472).

6396141024 is an abundant number, since it is smaller than the sum of its proper divisors (18036133920).

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

6396141024 is a wasteful number, since it uses less digits than its factorization.

6396141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6396141024 is about 79975.8777632356. The cubic root of 6396141024 is about 1856.2622963373.

The spelling of 6396141024 in words is "six billion, three hundred ninety-six million, one hundred forty-one thousand, twenty-four".