67304800640 has 768 divisors, whose sum is σ = 226048320000. Its totient is φ = 18847825920.

The previous prime is 67304800639. The next prime is 67304800723. The reversal of 67304800640 is 4600840376.

It is a happy number.

67304800640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 67304800594 and 67304800603.

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, 134879111 + ... + 134879609.

It is an arithmetic number, because the mean of its divisors is an integer number (294333750).

Almost surely, 2^67304800640 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 67304800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113024160000).

67304800640 is an abundant number, since it is smaller than the sum of its proper divisors (158743519360).

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

67304800640 is a wasteful number, since it uses less digits than its factorization.

67304800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 67304800640 in words is "sixty-seven billion, three hundred four million, eight hundred thousand, six hundred forty".