6393937440 has 384 divisors, whose sum is σ = 23563395072. Its totient is φ = 1441566720.

The previous prime is 6393937409. The next prime is 6393937441. The reversal of 6393937440 is 447393936.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6393937440.

It is not an unprimeable number, because it can be changed into a prime (6393937441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4492569 + ... + 4493991.

It is an arithmetic number, because the mean of its divisors is an integer number (61363008).

Almost surely, 2^6393937440 is an apocalyptic number.

6393937440 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 6393937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11781697536).

6393937440 is an abundant number, since it is smaller than the sum of its proper divisors (17169457632).

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

6393937440 is a wasteful number, since it uses less digits than its factorization.

6393937440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The square root of 6393937440 is about 79962.1000224481. The cubic root of 6393937440 is about 1856.0491000932.

The spelling of 6393937440 in words is "six billion, three hundred ninety-three million, nine hundred thirty-seven thousand, four hundred forty".