846240122880 has 576 divisors, whose sum is σ = 3041478236160. Its totient is φ = 217379635200.

The previous prime is 846240122867. The next prime is 846240122899. The reversal of 846240122880 is 88221042648.

846240122880 is a `hidden beast` number, since 8 + 4 + 624 + 0 + 12 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×846240122880² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774235614 + ... + 774236706.

It is an arithmetic number, because the mean of its divisors is an integer number (5280344160).

Almost surely, 2^846240122880 is an apocalyptic number.

846240122880 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 846240122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520739118080).

846240122880 is an abundant number, since it is smaller than the sum of its proper divisors (2195238113280).

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

846240122880 is a wasteful number, since it uses less digits than its factorization.

846240122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 846240122880 in words is "eight hundred forty-six billion, two hundred forty million, one hundred twenty-two thousand, eight hundred eighty".