840672386872032 has 2304 divisors, whose sum is σ = 2834836849152000. Its totient is φ = 215578489651200.

The previous prime is 840672386871983. The next prime is 840672386872063. The reversal of 840672386872032 is 230278683276048.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4696493781319 + ... + 4696493781497.

It is an arithmetic number, because the mean of its divisors is an integer number (1230397938000).

Almost surely, 2^{840672386872032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840672386872032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417418424576000).

840672386872032 is an abundant number, since it is smaller than the sum of its proper divisors (1994164462279968).

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

840672386872032 is a wasteful number, since it uses less digits than its factorization.

840672386872032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 66.

The spelling of 840672386872032 in words is "eight hundred forty trillion, six hundred seventy-two billion, three hundred eighty-six million, eight hundred seventy-two thousand, thirty-two".