67400406668 has 96 divisors (see below), whose sum is σ = 144514782720. Its totient is φ = 26848926720.

The previous prime is 67400406643. The next prime is 67400406679. The reversal of 67400406668 is 86660400476.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13031723 + ... + 13036893.

It is an arithmetic number, because the mean of its divisors is an integer number (1505362320).

Almost surely, 2^67400406668 is an apocalyptic number.

67400406668 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 67400406668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72257391360).

67400406668 is an abundant number, since it is smaller than the sum of its proper divisors (77114376052).

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

67400406668 is a wasteful number, since it uses less digits than its factorization.

67400406668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 67400406668 in words is "sixty-seven billion, four hundred million, four hundred six thousand, six hundred sixty-eight".