73127557548864 has 336 divisors, whose sum is σ = 259947092845440. Its totient is φ = 19139162664960.

The previous prime is 73127557548791. The next prime is 73127557548893. The reversal of 73127557548864 is 46884575572137.

73127557548864 is a `hidden beast` number, since 7 + 3 + 1 + 2 + 7 + 5 + 575 + 48 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 73127557548792 and 73127557548801.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1541542 + ... + 12191450.

It is an arithmetic number, because the mean of its divisors is an integer number (773652062040).

Almost surely, 2^{73127557548864} 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 73127557548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129973546422720).

73127557548864 is an abundant number, since it is smaller than the sum of its proper divisors (186819535296576).

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

73127557548864 is a wasteful number, since it uses less digits than its factorization.

73127557548864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10650078 (or 10650065 counting only the distinct ones).

The product of its digits is 1580544000, while the sum is 72.

The spelling of 73127557548864 in words is "seventy-three trillion, one hundred twenty-seven billion, five hundred fifty-seven million, five hundred forty-eight thousand, eight hundred sixty-four".