67415863680 has 1024 divisors, whose sum is σ = 285111705600. Its totient is φ = 14863564800.

The previous prime is 67415863679. The next prime is 67415863703. The reversal of 67415863680 is 8636851476.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100171824 + ... + 100172496.

It is an arithmetic number, because the mean of its divisors is an integer number (278429400).

Almost surely, 2^67415863680 is an apocalyptic number.

67415863680 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 67415863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142555852800).

67415863680 is an abundant number, since it is smaller than the sum of its proper divisors (217695841920).

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

67415863680 is a wasteful number, since it uses less digits than its factorization.

67415863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 67415863680 in words is "sixty-seven billion, four hundred fifteen million, eight hundred sixty-three thousand, six hundred eighty".