67680973440 has 256 divisors, whose sum is σ = 240447945600. Its totient is φ = 17992212480.

The previous prime is 67680973433. The next prime is 67680973453. The reversal of 67680973440 is 4437908676.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5713764 + ... + 5725596.

Almost surely, 2^67680973440 is an apocalyptic number.

67680973440 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 67680973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120223972800).

67680973440 is an abundant number, since it is smaller than the sum of its proper divisors (172766972160).

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

67680973440 is a wasteful number, since it uses less digits than its factorization.

67680973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 67680973440 in words is "sixty-seven billion, six hundred eighty million, nine hundred seventy-three thousand, four hundred forty".