67383872847564 has 768 divisors, whose sum is σ = 215246465925120. Its totient is φ = 15901320314880.

The previous prime is 67383872847523. The next prime is 67383872847607. The reversal of 67383872847564 is 46574827838376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 67383872847564.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15152656389 + ... + 15152660835.

It is an arithmetic number, because the mean of its divisors is an integer number (280268835840).

Almost surely, 2^{67383872847564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67383872847564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107623232962560).

67383872847564 is an abundant number, since it is smaller than the sum of its proper divisors (147862593077556).

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

67383872847564 is a wasteful number, since it uses less digits than its factorization.

67383872847564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4908 counting only the distinct ones).

The product of its digits is 9103933440, while the sum is 78.

The spelling of 67383872847564 in words is "sixty-seven trillion, three hundred eighty-three billion, eight hundred seventy-two million, eight hundred forty-seven thousand, five hundred sixty-four".