6660746400 has 864 divisors, whose sum is σ = 29068139520. Its totient is φ = 1306368000.

The previous prime is 6660746399. The next prime is 6660746429. The reversal of 6660746400 is 46470666.

It is a super-2 number, since 2×6660746400² = 88731085210225920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 24578265 + ... + 24578535.

It is an arithmetic number, because the mean of its divisors is an integer number (33643680).

Almost surely, 2^6660746400 is an apocalyptic number.

6660746400 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 6660746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534069760).

6660746400 is an abundant number, since it is smaller than the sum of its proper divisors (22407393120).

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

6660746400 is a wasteful number, since it uses less digits than its factorization.

6660746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 6660746400 is about 81613.3959592419. The cubic root of 6660746400 is about 1881.5147743428.

The spelling of 6660746400 in words is "six billion, six hundred sixty million, seven hundred forty-six thousand, four hundred".