73836105984 has 567 divisors, whose sum is σ = 241253451327. Its totient is φ = 22538207232.

The previous prime is 73836105929. The next prime is 73836105989. The reversal of 73836105984 is 48950163837.

The square root of 73836105984 is 271728.

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

73836105984 is a `hidden beast` number, since 7 + 3 + 8 + 36 + 10 + 598 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34346467584 + 39489638400 = 185328^2 + 198720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 73836105984.

It is not an unprimeable number, because it can be changed into a prime (73836105989) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 1995570414 + ... + 1995570450.

Almost surely, 2^73836105984 is an apocalyptic number.

73836105984 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

73836105984 is the 271728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73836105984

73836105984 is an abundant number, since it is smaller than the sum of its proper divisors (167417345343).

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

73836105984 is an frugal number, since it uses more digits than its factorization.

73836105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 73836105984 in words is "seventy-three billion, eight hundred thirty-six million, one hundred five thousand, nine hundred eighty-four".