848688040726560 has 768 divisors, whose sum is σ = 3078217453248000. Its totient is φ = 218130508431360.

The previous prime is 848688040726549. The next prime is 848688040726573. The reversal of 848688040726560 is 65627040886848.

848688040726560 is a `hidden beast` number, since 8 + 4 + 8 + 68 + 80 + 407 + 26 + 5 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251612225034 + ... + 251612228406.

It is an arithmetic number, because the mean of its divisors is an integer number (4008095642250).

Almost surely, 2^{848688040726560} is an apocalyptic number.

848688040726560 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 848688040726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539108726624000).

848688040726560 is an abundant number, since it is smaller than the sum of its proper divisors (2229529412521440).

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

848688040726560 is a wasteful number, since it uses less digits than its factorization.

848688040726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 848688040726560 in words is "eight hundred forty-eight trillion, six hundred eighty-eight billion, forty million, seven hundred twenty-six thousand, five hundred sixty".