6627113040 has 160 divisors (see below), whose sum is σ = 21255782400. Its totient is φ = 1706273280.

The previous prime is 6627113039. The next prime is 6627113069. The reversal of 6627113040 is 403117266.

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

It is a junction number, because it is equal to n+sod(n) for n = 6627112989 and 6627113007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4604641 + ... + 4606079.

It is an arithmetic number, because the mean of its divisors is an integer number (132848640).

Almost surely, 2^6627113040 is an apocalyptic number.

6627113040 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 6627113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627891200).

6627113040 is an abundant number, since it is smaller than the sum of its proper divisors (14628669360).

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

6627113040 is a wasteful number, since it uses less digits than its factorization.

6627113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6627113040 is about 81407.0822471853. The cubic root of 6627113040 is about 1878.3425334211.

The spelling of 6627113040 in words is "six billion, six hundred twenty-seven million, one hundred thirteen thousand, forty".