73700073667008 has 336 divisors, whose sum is σ = 223333575379200. Its totient is φ = 23172601098240.

The previous prime is 73700073667007. The next prime is 73700073667111. The reversal of 73700073667008 is 80076637000737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73700073667007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4085134468 + ... + 4085152508.

Almost surely, 2^{73700073667008} 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 73700073667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111666787689600).

73700073667008 is an abundant number, since it is smaller than the sum of its proper divisors (149633501712192).

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

73700073667008 is a wasteful number, since it uses less digits than its factorization.

73700073667008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19680 (or 19667 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 73700073667008 in words is "seventy-three trillion, seven hundred billion, seventy-three million, six hundred sixty-seven thousand, eight".