867573780480 has 832 divisors, whose sum is σ = 3542286412800. Its totient is φ = 199224852480.

The previous prime is 867573780457. The next prime is 867573780497. The reversal of 867573780480 is 84087375768.

867573780480 is a `hidden beast` number, since 8 + 6 + 7 + 5 + 73 + 7 + 80 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115564887 + ... + 115572393.

Almost surely, 2^867573780480 is an apocalyptic number.

867573780480 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 867573780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771143206400).

867573780480 is an abundant number, since it is smaller than the sum of its proper divisors (2674712632320).

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

867573780480 is a wasteful number, since it uses less digits than its factorization.

867573780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 867573780480 in words is "eight hundred sixty-seven billion, five hundred seventy-three million, seven hundred eighty thousand, four hundred eighty".