6614874240 has 512 divisors, whose sum is σ = 23952015360. Its totient is φ = 1541652480.

The previous prime is 6614874229. The next prime is 6614874241. The reversal of 6614874240 is 424784166.

It is a super-2 number, since 2×6614874240² = 87513122422031155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6614874192 and 6614874201.

It is not an unprimeable number, because it can be changed into a prime (6614874241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64222029 + ... + 64222131.

It is an arithmetic number, because the mean of its divisors is an integer number (46781280).

Almost surely, 2^6614874240 is an apocalyptic number.

6614874240 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 6614874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976007680).

6614874240 is an abundant number, since it is smaller than the sum of its proper divisors (17337141120).

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

6614874240 is a wasteful number, since it uses less digits than its factorization.

6614874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 6614874240 is about 81331.8771454342. The cubic root of 6614874240 is about 1877.1855276159.

The spelling of 6614874240 in words is "six billion, six hundred fourteen million, eight hundred seventy-four thousand, two hundred forty".