73927649952 has 144 divisors (see below), whose sum is σ = 226525827528. Its totient is φ = 22734673920.

The previous prime is 73927649849. The next prime is 73927649959. The reversal of 73927649952 is 25994672937.

73927649952 is a `hidden beast` number, since 7 + 3 + 92 + 7 + 6 + 499 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14276426256 + 59651223696 = 119484^2 + 244236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 73927649952.

It is not an unprimeable number, because it can be changed into a prime (73927649959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8910318 + ... + 8918610.

Almost surely, 2^73927649952 is an apocalyptic number.

73927649952 is a gapful number since it is divisible by the number (72) 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 73927649952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113262913764).

73927649952 is an abundant number, since it is smaller than the sum of its proper divisors (152598177576).

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

73927649952 is a wasteful number, since it uses less digits than its factorization.

73927649952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10703 (or 10692 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 73927649952 in words is "seventy-three billion, nine hundred twenty-seven million, six hundred forty-nine thousand, nine hundred fifty-two".