868611047040 has 1024 divisors, whose sum is σ = 3447990374400. Its totient is φ = 204871680000.

The previous prime is 868611047033. The next prime is 868611047147. The reversal of 868611047040 is 40740116868.

868611047040 is a `hidden beast` number, since 8 + 68 + 6 + 110 + 470 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 1521209955 + ... + 1521210525.

It is an arithmetic number, because the mean of its divisors is an integer number (3367178100).

Almost surely, 2^868611047040 is an apocalyptic number.

868611047040 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 868611047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723995187200).

868611047040 is an abundant number, since it is smaller than the sum of its proper divisors (2579379327360).

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

868611047040 is a wasteful number, since it uses less digits than its factorization.

868611047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 868611047040 in words is "eight hundred sixty-eight billion, six hundred eleven million, forty-seven thousand, forty".