849876468480 has 1440 divisors, whose sum is σ = 3589957324800. Its totient is φ = 189956358144.

The previous prime is 849876468479. The next prime is 849876468487. The reversal of 849876468480 is 84864678948.

849876468480 is a `hidden beast` number, since 8 + 4 + 9 + 87 + 6 + 4 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 849876468399 and 849876468408.

It is not an unprimeable number, because it can be changed into a prime (849876468487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 664484481 + ... + 664485759.

It is an arithmetic number, because the mean of its divisors is an integer number (2493025920).

Almost surely, 2^849876468480 is an apocalyptic number.

849876468480 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 849876468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794978662400).

849876468480 is an abundant number, since it is smaller than the sum of its proper divisors (2740080856320).

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

849876468480 is a wasteful number, since it uses less digits than its factorization.

849876468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1348 counting only the distinct ones).

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

The spelling of 849876468480 in words is "eight hundred forty-nine billion, eight hundred seventy-six million, four hundred sixty-eight thousand, four hundred eighty".