6859366778880 has 2880 divisors, whose sum is σ = 31804119547200. Its totient is φ = 1397918269440.

The previous prime is 6859366778857. The next prime is 6859366778881. The reversal of 6859366778880 is 888776639586.

6859366778880 is a `hidden beast` number, since 68 + 59 + 366 + 7 + 78 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 6859366778880.

It is not an unprimeable number, because it can be changed into a prime (6859366778881) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29953566606 + ... + 29953566834.

It is an arithmetic number, because the mean of its divisors is an integer number (11043097065).

Almost surely, 2^{6859366778880} is an apocalyptic number.

6859366778880 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 6859366778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902059773600).

6859366778880 is an abundant number, since it is smaller than the sum of its proper divisors (24944752768320).

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

6859366778880 is a wasteful number, since it uses less digits than its factorization.

6859366778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 6859366778880 in words is "six trillion, eight hundred fifty-nine billion, three hundred sixty-six million, seven hundred seventy-eight thousand, eight hundred eighty".