6715146240 has 680 divisors, whose sum is σ = 27405373248. Its totient is φ = 1557135360.

The previous prime is 6715146239. The next prime is 6715146253. The reversal of 6715146240 is 426415176.

6715146240 is a `hidden beast` number, since 6 + 7 + 15 + 14 + 624 + 0 = 666.

It is a super-2 number, since 2×6715146240² = 90186378049172275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6715146195 and 6715146204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291962869 + ... + 291962891.

Almost surely, 2^6715146240 is an apocalyptic number.

6715146240 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 6715146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702686624).

6715146240 is an abundant number, since it is smaller than the sum of its proper divisors (20690227008).

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

6715146240 is an equidigital number, since it uses as much as digits as its factorization.

6715146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6715146240 is about 81945.9958753324. The cubic root of 6715146240 is about 1886.6231463003.

The spelling of 6715146240 in words is "six billion, seven hundred fifteen million, one hundred forty-six thousand, two hundred forty".