73759826036736 has 960 divisors, whose sum is σ = 258747013324800. Its totient is φ = 20580751392768.

The previous prime is 73759826036647. The next prime is 73759826036753. The reversal of 73759826036736 is 63763062895737.

73759826036736 is a `hidden beast` number, since 7 + 3 + 7 + 5 + 9 + 8 + 2 + 603 + 6 + 7 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12133542945 + ... + 12133549023.

It is an arithmetic number, because the mean of its divisors is an integer number (269528138880).

Almost surely, 2^{73759826036736} 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 73759826036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129373506662400).

73759826036736 is an abundant number, since it is smaller than the sum of its proper divisors (184987187288064).

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

73759826036736 is an frugal number, since it uses more digits than its factorization.

73759826036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 1440270720, while the sum is 72.

The spelling of 73759826036736 in words is "seventy-three trillion, seven hundred fifty-nine billion, eight hundred twenty-six million, thirty-six thousand, seven hundred thirty-six".