6670540800 has 1008 divisors, whose sum is σ = 30423624192. Its totient is φ = 1356595200.

The previous prime is 6670540741. The next prime is 6670540813. The reversal of 6670540800 is 80450766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×6670540800² = 88992229128929280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141926377 + ... + 141926423.

Almost surely, 2^6670540800 is an apocalyptic number.

6670540800 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 6670540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211812096).

6670540800 is an abundant number, since it is smaller than the sum of its proper divisors (23753083392).

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

6670540800 is a wasteful number, since it uses less digits than its factorization.

6670540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6670540800 is about 81673.3787717883. The cubic root of 6670540800 is about 1882.4365570700.

The spelling of 6670540800 in words is "six billion, six hundred seventy million, five hundred forty thousand, eight hundred".