67330289664 has 520 divisors, whose sum is σ = 231206374080. Its totient is φ = 19309363200.

The previous prime is 67330289659. The next prime is 67330289671. The reversal of 67330289664 is 46698203376.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 67330289664.

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, 69340699 + ... + 69341669.

Almost surely, 2^67330289664 is an apocalyptic number.

67330289664 is a gapful number since it is divisible by the number (64) 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 67330289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115603187040).

67330289664 is an abundant number, since it is smaller than the sum of its proper divisors (163876084416).

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

67330289664 is a wasteful number, since it uses less digits than its factorization.

67330289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 67330289664 in words is "sixty-seven billion, three hundred thirty million, two hundred eighty-nine thousand, six hundred sixty-four".