67226621616 has 240 divisors, whose sum is σ = 244765048320. Its totient is φ = 16702202880.

The previous prime is 67226621599. The next prime is 67226621621. The reversal of 67226621616 is 61612662276.

67226621616 is a `hidden beast` number, since 6 + 7 + 2 + 2 + 6 + 6 + 21 + 616 = 666.

67226621616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123220 + ... + 386828.

It is an arithmetic number, because the mean of its divisors is an integer number (1019854368).

Almost surely, 2^67226621616 is an apocalyptic number.

67226621616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67226621616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122382524160).

67226621616 is an abundant number, since it is smaller than the sum of its proper divisors (177538426704).

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

67226621616 is a wasteful number, since it uses less digits than its factorization.

67226621616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263664 (or 263655 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 67226621616 in words is "sixty-seven billion, two hundred twenty-six million, six hundred twenty-one thousand, six hundred sixteen".