6614425440 has 384 divisors, whose sum is σ = 26963435520. Its totient is φ = 1482983424.

The previous prime is 6614425427. The next prime is 6614425471. The reversal of 6614425440 is 445244166.

6614425440 is a `hidden beast` number, since 66 + 14 + 42 + 544 + 0 = 666.

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 = 6614425395 and 6614425404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1600657 + ... + 1604783.

It is an arithmetic number, because the mean of its divisors is an integer number (70217280).

Almost surely, 2^6614425440 is an apocalyptic number.

6614425440 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 6614425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481717760).

6614425440 is an abundant number, since it is smaller than the sum of its proper divisors (20349010080).

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

6614425440 is a wasteful number, since it uses less digits than its factorization.

6614425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6614425440 is about 81329.1180328423. The cubic root of 6614425440 is about 1877.1430727942.

The spelling of 6614425440 in words is "six billion, six hundred fourteen million, four hundred twenty-five thousand, four hundred forty".