864628884000 has 768 divisors, whose sum is σ = 3656016000000. Its totient is φ = 194379264000.

The previous prime is 864628883999. The next prime is 864628884131. The reversal of 864628884000 is 488826468.

864628884000 is a `hidden beast` number, since 8 + 6 + 4 + 628 + 8 + 8 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×864628884000³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46106626 + ... + 46125374.

It is an arithmetic number, because the mean of its divisors is an integer number (4760437500).

Almost surely, 2^864628884000 is an apocalyptic number.

864628884000 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 864628884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000000).

864628884000 is an abundant number, since it is smaller than the sum of its proper divisors (2791387116000).

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

864628884000 is a wasteful number, since it uses less digits than its factorization.

864628884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18851 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 864628884000 in words is "eight hundred sixty-four billion, six hundred twenty-eight million, eight hundred eighty-four thousand".