864504506880 has 480 divisors, whose sum is σ = 3572159849280. Its totient is φ = 197600256000.

The previous prime is 864504506861. The next prime is 864504506897. The reversal of 864504506880 is 88605405468.

864504506880 is a `hidden beast` number, since 8 + 6 + 4 + 50 + 4 + 506 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3259255 + ... + 3514505.

It is an arithmetic number, because the mean of its divisors is an integer number (7441999686).

Almost surely, 2^864504506880 is an apocalyptic number.

864504506880 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 864504506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786079924640).

864504506880 is an abundant number, since it is smaller than the sum of its proper divisors (2707655342400).

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

864504506880 is a wasteful number, since it uses less digits than its factorization.

864504506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255297 (or 255268 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 864504506880 in words is "eight hundred sixty-four billion, five hundred four million, five hundred six thousand, eight hundred eighty".