6395538240 has 672 divisors, whose sum is σ = 28278222336. Its totient is φ = 1289502720.

The previous prime is 6395538211. The next prime is 6395538241. The reversal of 6395538240 is 428355936.

6395538240 is a `hidden beast` number, since 6 + 3 + 95 + 538 + 24 + 0 = 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6395538241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6027310 + ... + 6028370.

It is an arithmetic number, because the mean of its divisors is an integer number (42080688).

Almost surely, 2^6395538240 is an apocalyptic number.

6395538240 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 6395538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14139111168).

6395538240 is an abundant number, since it is smaller than the sum of its proper divisors (21882684096).

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

6395538240 is a wasteful number, since it uses less digits than its factorization.

6395538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 6395538240 is about 79972.1091381239. The cubic root of 6395538240 is about 1856.2039819902.

The spelling of 6395538240 in words is "six billion, three hundred ninety-five million, five hundred thirty-eight thousand, two hundred forty".