868334100480 has 2016 divisors, whose sum is σ = 3959323909632. Its totient is φ = 178681282560.

The previous prime is 868334100479. The next prime is 868334100533. The reversal of 868334100480 is 84001433868.

868334100480 is a `hidden beast` number, since 8 + 68 + 3 + 3 + 4 + 100 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×868334100480² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8430428109 + ... + 8430428211.

It is an arithmetic number, because the mean of its divisors is an integer number (1963950352).

Almost surely, 2^868334100480 is an apocalyptic number.

868334100480 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 868334100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979661954816).

868334100480 is an abundant number, since it is smaller than the sum of its proper divisors (3090989809152).

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

868334100480 is a wasteful number, since it uses less digits than its factorization.

868334100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 868334100480 in words is "eight hundred sixty-eight billion, three hundred thirty-four million, one hundred thousand, four hundred eighty".