73995540575544 has 512 divisors, whose sum is σ = 246049574400000. Its totient is φ = 20183987856384.

The previous prime is 73995540575533. The next prime is 73995540575569. The reversal of 73995540575544 is 44557504559937.

73995540575544 is a `hidden beast` number, since 7 + 3 + 9 + 9 + 5 + 5 + 4 + 0 + 5 + 75 + 544 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10467607242 + ... + 10467614310.

It is an arithmetic number, because the mean of its divisors is an integer number (480565575000).

Almost surely, 2^{73995540575544} 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 73995540575544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123024787200000).

73995540575544 is an abundant number, since it is smaller than the sum of its proper divisors (172054033824456).

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

73995540575544 is a wasteful number, since it uses less digits than its factorization.

73995540575544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 2381400000, while the sum is 72.

The spelling of 73995540575544 in words is "seventy-three trillion, nine hundred ninety-five billion, five hundred forty million, five hundred seventy-five thousand, five hundred forty-four".