73711747249920 has 576 divisors, whose sum is σ = 282165172060800. Its totient is φ = 18114173337600.

The previous prime is 73711747249901. The next prime is 73711747249939. The reversal of 73711747249920 is 2994274711737.

It is a happy number.

73711747249920 is a `hidden beast` number, since 7 + 3 + 7 + 1 + 1 + 74 + 72 + 499 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73711747249901) and next prime (73711747249939).

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 269880786 + ... + 270153774.

Almost surely, 2^{73711747249920} 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 73711747249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141082586030400).

73711747249920 is an abundant number, since it is smaller than the sum of its proper divisors (208453424810880).

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

73711747249920 is a wasteful number, since it uses less digits than its factorization.

73711747249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273633 (or 273613 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 73711747249920 in words is "seventy-three trillion, seven hundred eleven billion, seven hundred forty-seven million, two hundred forty-nine thousand, nine hundred twenty".