67765735680 has 144 divisors (see below), whose sum is σ = 216646012800. Its totient is φ = 18052562944.

The previous prime is 67765735679. The next prime is 67765735693. The reversal of 67765735680 is 8653756776.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4019749 + ... + 4036571.

It is an arithmetic number, because the mean of its divisors is an integer number (1504486200).

Almost surely, 2^67765735680 is an apocalyptic number.

67765735680 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 67765735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108323006400).

67765735680 is an abundant number, since it is smaller than the sum of its proper divisors (148880277120).

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

67765735680 is a wasteful number, since it uses less digits than its factorization.

67765735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17896 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 67765735680 in words is "sixty-seven billion, seven hundred sixty-five million, seven hundred thirty-five thousand, six hundred eighty".