6138793440 has 384 divisors, whose sum is σ = 23280566400. Its totient is φ = 1501839360.

The previous prime is 6138793439. The next prime is 6138793447. The reversal of 6138793440 is 443978316.

6138793440 is a `hidden beast` number, since 6 + 138 + 79 + 3 + 440 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (6138793447) 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, 15780766 + ... + 15781154.

It is an arithmetic number, because the mean of its divisors is an integer number (60626475).

Almost surely, 2^6138793440 is an apocalyptic number.

6138793440 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 6138793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640283200).

6138793440 is an abundant number, since it is smaller than the sum of its proper divisors (17141772960).

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

6138793440 is a wasteful number, since it uses less digits than its factorization.

6138793440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6138793440 is about 78350.4527108810. The cubic root of 6138793440 is about 1831.0252787337.

The spelling of 6138793440 in words is "six billion, one hundred thirty-eight million, seven hundred ninety-three thousand, four hundred forty".