67761465421680 has 960 divisors, whose sum is σ = 246246730629120. Its totient is φ = 16660198195200.

The previous prime is 67761465421673. The next prime is 67761465421703. The reversal of 67761465421680 is 8612456416776.

67761465421680 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 1 + 4 + 6 + 542 + 1 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15865477945 + ... + 15865482215.

It is an arithmetic number, because the mean of its divisors is an integer number (256507011072).

Almost surely, 2^{67761465421680} is an apocalyptic number.

67761465421680 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 67761465421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123123365314560).

67761465421680 is an abundant number, since it is smaller than the sum of its proper divisors (178485265207440).

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

67761465421680 is a wasteful number, since it uses less digits than its factorization.

67761465421680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 67761465421680 in words is "sixty-seven trillion, seven hundred sixty-one billion, four hundred sixty-five million, four hundred twenty-one thousand, six hundred eighty".