846488766470400 has 1215 divisors, whose sum is σ = 3326193025736889. Its totient is φ = 212362704322560.

The previous prime is 846488766470387. The next prime is 846488766470497. The reversal of 846488766470400 is 4074667884648.

The square root of 846488766470400 is 29094480.

It is a perfect power (a square), and thus also a powerful number.

846488766470400 is a `hidden beast` number, since 8 + 4 + 6 + 4 + 88 + 76 + 6 + 4 + 70 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 382388951533824 + 464099814936576 = 19554768^2 + 21542976^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 356116434012 + ... + 356116436388.

Almost surely, 2^{846488766470400} is an apocalyptic number.

846488766470400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

846488766470400 is the 29094480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846488766470400

846488766470400 is an abundant number, since it is smaller than the sum of its proper divisors (2479704259266489).

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

846488766470400 is an frugal number, since it uses more digits than its factorization.

846488766470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 1387266048, while the sum is 72.

The spelling of 846488766470400 in words is "eight hundred forty-six trillion, four hundred eighty-eight billion, seven hundred sixty-six million, four hundred seventy thousand, four hundred".