67584906768016 has 45 divisors (see below), whose sum is σ = 143932883265129. Its totient is φ = 30720247747200.

The previous prime is 67584906767981. The next prime is 67584906768073. The reversal of 67584906768016 is 61086760948576.

The square root of 67584906768016 is 8221004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 260912553616 + 67323994214400 = 510796^2 + 8205120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67584906768016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 361630756 + ... + 361817596.

Almost surely, 2^{67584906768016} is an apocalyptic number.

67584906768016 is the 8221004-th square number.

It is an amenable number.

67584906768016 is an abundant number, since it is smaller than the sum of its proper divisors (76347976497113).

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

67584906768016 is an frugal number, since it uses more digits than its factorization.

67584906768016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373712 (or 186854 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 73.

The spelling of 67584906768016 in words is "sixty-seven trillion, five hundred eighty-four billion, nine hundred six million, seven hundred sixty-eight thousand, sixteen".