6780135600 has 360 divisors, whose sum is σ = 27139593312. Its totient is φ = 1535385600.

The previous prime is 6780135491. The next prime is 6780135629. The reversal of 6780135600 is 65310876.

6780135600 is a `hidden beast` number, since 6 + 7 + 80 + 13 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2846410 + ... + 2848790.

Almost surely, 2^6780135600 is an apocalyptic number.

6780135600 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 6780135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569796656).

6780135600 is an abundant number, since it is smaller than the sum of its proper divisors (20359457712).

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

6780135600 is a wasteful number, since it uses less digits than its factorization.

6780135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6780135600 is about 82341.5788043926. The cubic root of 6780135600 is about 1892.6898794851.

The spelling of 6780135600 in words is "six billion, seven hundred eighty million, one hundred thirty-five thousand, six hundred".