67168272384 has 384 divisors, whose sum is σ = 208244016000. Its totient is φ = 21392916480.

The previous prime is 67168272253. The next prime is 67168272401. The reversal of 67168272384 is 48327286176.

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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 67168272384.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850231257 + ... + 850231335.

It is an arithmetic number, because the mean of its divisors is an integer number (542302125).

Almost surely, 2^67168272384 is an apocalyptic number.

67168272384 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 67168272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104122008000).

67168272384 is an abundant number, since it is smaller than the sum of its proper divisors (141075743616).

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

67168272384 is an frugal number, since it uses more digits than its factorization.

67168272384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 115 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 67168272384 in words is "sixty-seven billion, one hundred sixty-eight million, two hundred seventy-two thousand, three hundred eighty-four".