73630867680 has 576 divisors, whose sum is σ = 269007298560. Its totient is φ = 18308505600.

The previous prime is 73630867631. The next prime is 73630867703. The reversal of 73630867680 is 8676803637.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170837065 + ... + 170837495.

It is an arithmetic number, because the mean of its divisors is an integer number (467026560).

Almost surely, 2^73630867680 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 73630867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134503649280).

73630867680 is an abundant number, since it is smaller than the sum of its proper divisors (195376430880).

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

73630867680 is a wasteful number, since it uses less digits than its factorization.

73630867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 73630867680 in words is "seventy-three billion, six hundred thirty million, eight hundred sixty-seven thousand, six hundred eighty".