849676884480 has 400 divisors, whose sum is σ = 3050816224104. Its totient is φ = 226019082240.

The previous prime is 849676884457. The next prime is 849676884503. The reversal of 849676884480 is 84488676948.

849676884480 is a `hidden beast` number, since 8 + 4 + 9 + 6 + 7 + 68 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (849676884457) and next prime (849676884503).

It can be written as a sum of positive squares in 4 ways, for example, as 568709040384 + 280967844096 = 754128^2 + 530064^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 849676884399 and 849676884408.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87293694 + ... + 87303426.

Almost surely, 2^849676884480 is an apocalyptic number.

849676884480 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 849676884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525408112052).

849676884480 is an abundant number, since it is smaller than the sum of its proper divisors (2201139339624).

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

849676884480 is an equidigital number, since it uses as much as digits as its factorization.

849676884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10164 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 849676884480 in words is "eight hundred forty-nine billion, six hundred seventy-six million, eight hundred eighty-four thousand, four hundred eighty".