864409780080 has 1800 divisors, whose sum is σ = 3890090080800. Its totient is φ = 177230592000.

The previous prime is 864409780063. The next prime is 864409780109. The reversal of 864409780080 is 80087904468.

864409780080 is a `hidden beast` number, since 86 + 4 + 409 + 7 + 80 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 864409779999 and 864409780026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5724568005 + ... + 5724568155.

It is an arithmetic number, because the mean of its divisors is an integer number (2161161156).

Almost surely, 2^864409780080 is an apocalyptic number.

864409780080 is a gapful number since it is divisible by the number (80) 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 864409780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945045040400).

864409780080 is an abundant number, since it is smaller than the sum of its proper divisors (3025680300720).

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

864409780080 is a wasteful number, since it uses less digits than its factorization.

864409780080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 864409780080 in words is "eight hundred sixty-four billion, four hundred nine million, seven hundred eighty thousand, eighty".