6627618816 has 208 divisors, whose sum is σ = 21753199104. Its totient is φ = 1747648512.

The previous prime is 6627618731. The next prime is 6627618883. The reversal of 6627618816 is 6188167266.

It is a tau number, because it is divible by the number of its divisors (208).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115245 + ... + 1121171.

It is an arithmetic number, because the mean of its divisors is an integer number (104582688).

Almost surely, 2^6627618816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6627618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876599552).

6627618816 is an abundant number, since it is smaller than the sum of its proper divisors (15125580288).

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

6627618816 is a wasteful number, since it uses less digits than its factorization.

6627618816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5952 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 6627618816 is about 81410.1886498244. The cubic root of 6627618816 is about 1878.3903167420.

The spelling of 6627618816 in words is "six billion, six hundred twenty-seven million, six hundred eighteen thousand, eight hundred sixteen".