6627479040 has 960 divisors, whose sum is σ = 29491862400. Its totient is φ = 1337720832.

The previous prime is 6627479039. The next prime is 6627479059. The reversal of 6627479040 is 409747266.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60802506 + ... + 60802614.

It is an arithmetic number, because the mean of its divisors is an integer number (30720690).

Almost surely, 2^6627479040 is an apocalyptic number.

6627479040 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 6627479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745931200).

6627479040 is an abundant number, since it is smaller than the sum of its proper divisors (22864383360).

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

6627479040 is a wasteful number, since it uses less digits than its factorization.

6627479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6627479040 is about 81409.3301778119. The cubic root of 6627479040 is about 1878.3771116106.

The spelling of 6627479040 in words is "six billion, six hundred twenty-seven million, four hundred seventy-nine thousand, forty".