67408306560 has 384 divisors, whose sum is σ = 266433710400. Its totient is φ = 15383789568.

The previous prime is 67408306519. The next prime is 67408306607. The reversal of 67408306560 is 6560380476.

67408306560 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 83 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 51971832 + ... + 51973128.

Almost surely, 2^67408306560 is an apocalyptic number.

67408306560 is a gapful number since it is divisible by the number (60) 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 67408306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133216855200).

67408306560 is an abundant number, since it is smaller than the sum of its proper divisors (199025403840).

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

67408306560 is a wasteful number, since it uses less digits than its factorization.

67408306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 67408306560 in words is "sixty-seven billion, four hundred eight million, three hundred six thousand, five hundred sixty".