6627348000 has 1296 divisors, whose sum is σ = 31300391304. Its totient is φ = 1316044800.

The previous prime is 6627347971. The next prime is 6627348031. The reversal of 6627348000 is 8437266.

It can be written as a sum of positive squares in 12 ways, for example, as 83832336 + 6543515664 = 9156^2 + 80892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 389843992 + ... + 389844008.

Almost surely, 2^6627348000 is an apocalyptic number.

6627348000 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 6627348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650195652).

6627348000 is an abundant number, since it is smaller than the sum of its proper divisors (24673043304).

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

6627348000 is a wasteful number, since it uses less digits than its factorization.

6627348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6627348000 is about 81408.5253520785. The cubic root of 6627348000 is about 1878.3647316314.

The spelling of 6627348000 in words is "six billion, six hundred twenty-seven million, three hundred forty-eight thousand".