6401593620 has 240 divisors, whose sum is σ = 21824140800. Its totient is φ = 1564842240.

The previous prime is 6401593573. The next prime is 6401593643. The reversal of 6401593620 is 263951046.

It is a happy number.

6401593620 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 593 + 62 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 950826 + ... + 957534.

It is an arithmetic number, because the mean of its divisors is an integer number (90933920).

Almost surely, 2^6401593620 is an apocalyptic number.

6401593620 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 6401593620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10912070400).

6401593620 is an abundant number, since it is smaller than the sum of its proper divisors (15422547180).

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

6401593620 is a wasteful number, since it uses less digits than its factorization.

6401593620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6780 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6401593620 is about 80009.9595050516. The cubic root of 6401593620 is about 1856.7896233395.

The spelling of 6401593620 in words is "six billion, four hundred one million, five hundred ninety-three thousand, six hundred twenty".