6186378240 has 440 divisors, whose sum is σ = 25347296832. Its totient is φ = 1413365760.

The previous prime is 6186378239. The next prime is 6186378269. The reversal of 6186378240 is 428736816.

6186378240 is a `hidden beast` number, since 6 + 1 + 8 + 637 + 8 + 2 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2901975 + ... + 2904105.

Almost surely, 2^6186378240 is an apocalyptic number.

6186378240 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 6186378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673648416).

6186378240 is an abundant number, since it is smaller than the sum of its proper divisors (19160918592).

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

6186378240 is a wasteful number, since it uses less digits than its factorization.

6186378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6186378240 is about 78653.5329149301. The cubic root of 6186378240 is about 1835.7441653011.

The spelling of 6186378240 in words is "six billion, one hundred eighty-six million, three hundred seventy-eight thousand, two hundred forty".