67652167680 has 192 divisors, whose sum is σ = 240483297600. Its totient is φ = 18040504320.

The previous prime is 67652167633. The next prime is 67652167729. The reversal of 67652167680 is 8676125676.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154135 + ... + 398825.

It is an arithmetic number, because the mean of its divisors is an integer number (1252517175).

Almost surely, 2^67652167680 is an apocalyptic number.

67652167680 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 67652167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120241648800).

67652167680 is an abundant number, since it is smaller than the sum of its proper divisors (172831129920).

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

67652167680 is a wasteful number, since it uses less digits than its factorization.

67652167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244727 (or 244701 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 67652167680 in words is "sixty-seven billion, six hundred fifty-two million, one hundred sixty-seven thousand, six hundred eighty".