6618353040 has 480 divisors, whose sum is σ = 25387375104. Its totient is φ = 1532805120.

The previous prime is 6618353009. The next prime is 6618353047. The reversal of 6618353040 is 403538166.

6618353040 is a `hidden beast` number, since 6 + 6 + 1 + 83 + 530 + 40 = 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 = 6618352986 and 6618353004.

It is not an unprimeable number, because it can be changed into a prime (6618353047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15284664 + ... + 15285096.

Almost surely, 2^6618353040 is an apocalyptic number.

6618353040 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 6618353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12693687552).

6618353040 is an abundant number, since it is smaller than the sum of its proper divisors (18769022064).

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

6618353040 is a wasteful number, since it uses less digits than its factorization.

6618353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6618353040 is about 81353.2607828353. The cubic root of 6618353040 is about 1877.5145441287.

The spelling of 6618353040 in words is "six billion, six hundred eighteen million, three hundred fifty-three thousand, forty".