67729680 has 120 divisors (see below), whose sum is σ = 239478720. Its totient is φ = 17107200.

The previous prime is 67729639. The next prime is 67729681. The reversal of 67729680 is 8692776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (67729681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11205 + ... + 16155.

It is an arithmetic number, because the mean of its divisors is an integer number (1995656).

Almost surely, 2^67729680 is an apocalyptic number.

67729680 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 67729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119739360).

67729680 is an abundant number, since it is smaller than the sum of its proper divisors (171749040).

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

67729680 is a wasteful number, since it uses less digits than its factorization.

67729680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 67729680 is about 8229.8043719155. The cubic root of 67729680 is about 407.6239325959.

The spelling of 67729680 in words is "sixty-seven million, seven hundred twenty-nine thousand, six hundred eighty".