846864506880 has 1008 divisors, whose sum is σ = 3447315578304. Its totient is φ = 191739985920.

The previous prime is 846864506867. The next prime is 846864506897. The reversal of 846864506880 is 88605468648.

846864506880 is a `hidden beast` number, since 8 + 4 + 68 + 64 + 506 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3124961145 + ... + 3124961415.

Almost surely, 2^846864506880 is an apocalyptic number.

846864506880 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 846864506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723657789152).

846864506880 is an abundant number, since it is smaller than the sum of its proper divisors (2600451071424).

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

846864506880 is a wasteful number, since it uses less digits than its factorization.

846864506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 846864506880 in words is "eight hundred forty-six billion, eight hundred sixty-four million, five hundred six thousand, eight hundred eighty".