847009408960 has 1008 divisors, whose sum is σ = 2637483436224. Its totient is φ = 256440729600.

The previous prime is 847009408937. The next prime is 847009408961. The reversal of 847009408960 is 69804900748.

847009408960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (847009408961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8223392269 + ... + 8223392371.

It is an arithmetic number, because the mean of its divisors is an integer number (2616551028).

Almost surely, 2^847009408960 is an apocalyptic number.

847009408960 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 847009408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318741718112).

847009408960 is an abundant number, since it is smaller than the sum of its proper divisors (1790474027264).

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

847009408960 is a wasteful number, since it uses less digits than its factorization.

847009408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 847009408960 in words is "eight hundred forty-seven billion, nine million, four hundred eight thousand, nine hundred sixty".