6138465840 has 240 divisors, whose sum is σ = 22367505888. Its totient is φ = 1499664384.

The previous prime is 6138465833. The next prime is 6138465847. The reversal of 6138465840 is 485648316.

6138465840 is a `hidden beast` number, since 61 + 3 + 8 + 4 + 6 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6138465833) and next prime (6138465847).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6138465847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279927 + ... + 1284713.

Almost surely, 2^6138465840 is an apocalyptic number.

6138465840 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 6138465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183752944).

6138465840 is an abundant number, since it is smaller than the sum of its proper divisors (16229040048).

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

6138465840 is a wasteful number, since it uses less digits than its factorization.

6138465840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6138465840 is about 78348.3620760511. The cubic root of 6138465840 is about 1830.9927069393.

The spelling of 6138465840 in words is "six billion, one hundred thirty-eight million, four hundred sixty-five thousand, eight hundred forty".