840829796352 has 1536 divisors, whose sum is σ = 3366380908800. Its totient is φ = 195689447424.

The previous prime is 840829796341. The next prime is 840829796377. The reversal of 840829796352 is 253697928048.

840829796352 is a `hidden beast` number, since 8 + 408 + 2 + 97 + 96 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 840829796352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8668348368 + ... + 8668348464.

Almost surely, 2^840829796352 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 840829796352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683190454400).

840829796352 is an abundant number, since it is smaller than the sum of its proper divisors (2525551112448).

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

840829796352 is a wasteful number, since it uses less digits than its factorization.

840829796352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 840829796352 in words is "eight hundred forty billion, eight hundred twenty-nine million, seven hundred ninety-six thousand, three hundred fifty-two".