84529747600 has 45 divisors (see below), whose sum is σ = 203096689627. Its totient is φ = 33809573120.

The previous prime is 84529747571. The next prime is 84529747663. The reversal of 84529747600 is 674792548.

The square root of 84529747600 is 290740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13892865424 + 70636882176 = 117868^2 + 265776^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 5807532 + ... + 5822068.

Almost surely, 2^84529747600 is an apocalyptic number.

84529747600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84529747600 is the 290740-th square number.

It is an amenable number.

84529747600 is an abundant number, since it is smaller than the sum of its proper divisors (118566942027).

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

84529747600 is an frugal number, since it uses more digits than its factorization.

84529747600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29092 (or 14544 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 84529747600 in words is "eighty-four billion, five hundred twenty-nine million, seven hundred forty-seven thousand, six hundred".