6670263600 has 960 divisors, whose sum is σ = 31927956480. Its totient is φ = 1277337600.

The previous prime is 6670263577. The next prime is 6670263659. The reversal of 6670263600 is 63620766.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10810492 + ... + 10811108.

It is an arithmetic number, because the mean of its divisors is an integer number (33258288).

Almost surely, 2^6670263600 is an apocalyptic number.

6670263600 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 6670263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963978240).

6670263600 is an abundant number, since it is smaller than the sum of its proper divisors (25257692880).

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

6670263600 is a wasteful number, since it uses less digits than its factorization.

6670263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6670263600 is about 81671.6817507758. The cubic root of 6670263600 is about 1882.4104812910.

The spelling of 6670263600 in words is "six billion, six hundred seventy million, two hundred sixty-three thousand, six hundred".