67661346480 has 960 divisors, whose sum is σ = 277630230528. Its totient is φ = 13257768960.

The previous prime is 67661346469. The next prime is 67661346509. The reversal of 67661346480 is 8464316676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 926867724 + ... + 926867796.

Almost surely, 2^67661346480 is an apocalyptic number.

67661346480 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 67661346480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138815115264).

67661346480 is an abundant number, since it is smaller than the sum of its proper divisors (209968884048).

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

67661346480 is a wasteful number, since it uses less digits than its factorization.

67661346480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 67661346480 in words is "sixty-seven billion, six hundred sixty-one million, three hundred forty-six thousand, four hundred eighty".