840084066720 has 576 divisors, whose sum is σ = 3092055482880. Its totient is φ = 207061899264.

The previous prime is 840084066683. The next prime is 840084066737. The reversal of 840084066720 is 27660480048.

It is a Cunningham number, because it is equal to 916561²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 196141699 + ... + 196145981.

It is an arithmetic number, because the mean of its divisors is an integer number (5368151880).

Almost surely, 2^840084066720 is an apocalyptic number.

840084066720 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 840084066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546027741440).

840084066720 is an abundant number, since it is smaller than the sum of its proper divisors (2251971416160).

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

840084066720 is a wasteful number, since it uses less digits than its factorization.

840084066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 840084066720 in words is "eight hundred forty billion, eighty-four million, sixty-six thousand, seven hundred twenty".