6614407020 has 192 divisors, whose sum is σ = 20334827520. Its totient is φ = 1596672000.

The previous prime is 6614407003. The next prime is 6614407043. The reversal of 6614407020 is 207044166.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10482105 + ... + 10482735.

It is an arithmetic number, because the mean of its divisors is an integer number (105910560).

Almost surely, 2^6614407020 is an apocalyptic number.

6614407020 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 6614407020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167413760).

6614407020 is an abundant number, since it is smaller than the sum of its proper divisors (13720420500).

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

6614407020 is a wasteful number, since it uses less digits than its factorization.

6614407020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6614407020 is about 81329.0047891894. The cubic root of 6614407020 is about 1877.1413302893.

The spelling of 6614407020 in words is "six billion, six hundred fourteen million, four hundred seven thousand, twenty".