73526733067312 has 640 divisors, whose sum is σ = 183979358138880. Its totient is φ = 27778351104000.

The previous prime is 73526733067273. The next prime is 73526733067349. The reversal of 73526733067312 is 21376033762537.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 286096237488 + ... + 286096237744.

It is an arithmetic number, because the mean of its divisors is an integer number (287467747092).

Almost surely, 2^{73526733067312} 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 73526733067312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91989679069440).

73526733067312 is an abundant number, since it is smaller than the sum of its proper divisors (110452625071568).

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

73526733067312 is a wasteful number, since it uses less digits than its factorization.

73526733067312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 55.

The spelling of 73526733067312 in words is "seventy-three trillion, five hundred twenty-six billion, seven hundred thirty-three million, sixty-seven thousand, three hundred twelve".