73161926784 has 336 divisors, whose sum is σ = 232224780570. Its totient is φ = 22944301056.

The previous prime is 73161926779. The next prime is 73161926833. The reversal of 73161926784 is 48762916137.

73161926784 is a `hidden beast` number, since 7 + 316 + 192 + 67 + 84 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 69101688384 + 4060238400 = 262872^2 + 63720^2 .

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 73161926784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 26965812 + ... + 26968524.

Almost surely, 2^73161926784 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 73161926784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116112390285).

73161926784 is an abundant number, since it is smaller than the sum of its proper divisors (159062853786).

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

73161926784 is an equidigital number, since it uses as much as digits as its factorization.

73161926784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2735 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 73161926784 in words is "seventy-three billion, one hundred sixty-one million, nine hundred twenty-six thousand, seven hundred eighty-four".