73984135680 has 1080 divisors, whose sum is σ = 325573404156. Its totient is φ = 15389982720.

The previous prime is 73984135657. The next prime is 73984135721. The reversal of 73984135680 is 8653148937.

73984135680 is a `hidden beast` number, since 7 + 39 + 8 + 41 + 3 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68862157056 + 5121978624 = 262416^2 + 71568^2 .

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 107 ways as a sum of consecutive naturals, for example, 1042030045 + ... + 1042030115.

Almost surely, 2^73984135680 is an apocalyptic number.

73984135680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73984135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162786702078).

73984135680 is an abundant number, since it is smaller than the sum of its proper divisors (251589268476).

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

73984135680 is a wasteful number, since it uses less digits than its factorization.

73984135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 101 counting only the distinct ones).

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

The spelling of 73984135680 in words is "seventy-three billion, nine hundred eighty-four million, one hundred thirty-five thousand, six hundred eighty".