73079296567680 has 512 divisors, whose sum is σ = 279594910425600. Its totient is φ = 16039502807040.

The previous prime is 73079296567679. The next prime is 73079296567681. The reversal of 73079296567680 is 8676569297037.

It is an interprime number because it is at equal distance from previous prime (73079296567679) and next prime (73079296567681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73079296567681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3529795 + ... + 12594365.

It is an arithmetic number, because the mean of its divisors is an integer number (546083809425).

Almost surely, 2^{73079296567680} 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 73079296567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139797455212800).

73079296567680 is an abundant number, since it is smaller than the sum of its proper divisors (206515613857920).

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

73079296567680 is a wasteful number, since it uses less digits than its factorization.

73079296567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064642 (or 9064630 counting only the distinct ones).

The product of its (nonzero) digits is 1440270720, while the sum is 75.

The spelling of 73079296567680 in words is "seventy-three trillion, seventy-nine billion, two hundred ninety-six million, five hundred sixty-seven thousand, six hundred eighty".