84352769334 has 72 divisors (see below), whose sum is σ = 191666150208. Its totient is φ = 27838760400.

The previous prime is 84352769329. The next prime is 84352769351. The reversal of 84352769334 is 43396725348.

84352769334 is a `hidden beast` number, since 8 + 4 + 35 + 276 + 9 + 334 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1293499 + ... + 1357145.

It is an arithmetic number, because the mean of its divisors is an integer number (2662029864).

Almost surely, 2^84352769334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84352769334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95833075104).

84352769334 is an abundant number, since it is smaller than the sum of its proper divisors (107313380874).

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

84352769334 is an equidigital number, since it uses as much as digits as its factorization.

84352769334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63774 (or 63753 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 84352769334 in words is "eighty-four billion, three hundred fifty-two million, seven hundred sixty-nine thousand, three hundred thirty-four".