67726368 has 240 divisors, whose sum is σ = 222286680. Its totient is φ = 20127744.

The previous prime is 67726357. The next prime is 67726381. The reversal of 67726368 is 86362776.

67726368 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 636 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66781584 + 944784 = 8172^2 + 972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277830 + ... + 1277882.

Almost surely, 2^67726368 is an apocalyptic number.

67726368 is a gapful number since it is divisible by the number (68) 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 67726368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111143340).

67726368 is an abundant number, since it is smaller than the sum of its proper divisors (154560312).

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

67726368 is a wasteful number, since it uses less digits than its factorization.

67726368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 67726368 is about 8229.6031496057. The cubic root of 67726368 is about 407.6172881800.

The spelling of 67726368 in words is "sixty-seven million, seven hundred twenty-six thousand, three hundred sixty-eight".