6511378800 has 120 divisors (see below), whose sum is σ = 20892216880. Its totient is φ = 1733529600.

The previous prime is 6511378789. The next prime is 6511378813. The reversal of 6511378800 is 88731156.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 789096 + ... + 797304.

Almost surely, 2^6511378800 is an apocalyptic number.

6511378800 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 6511378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446108440).

6511378800 is an abundant number, since it is smaller than the sum of its proper divisors (14380838080).

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

6511378800 is a wasteful number, since it uses less digits than its factorization.

6511378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8891 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 6511378800 is about 80693.1149479310. The cubic root of 6511378800 is about 1867.3439563242.

The spelling of 6511378800 in words is "six billion, five hundred eleven million, three hundred seventy-eight thousand, eight hundred".