67306475882880 has 768 divisors, whose sum is σ = 252901604592000. Its totient is φ = 16396104499200.

The previous prime is 67306475882813. The next prime is 67306475882887. The reversal of 67306475882880 is 8828857460376.

67306475882880 is a `hidden beast` number, since 6 + 7 + 30 + 6 + 4 + 7 + 588 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 67306475882799 and 67306475882808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67306475882887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3041539656 + ... + 3041561784.

Almost surely, 2^{67306475882880} is an apocalyptic number.

67306475882880 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 67306475882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126450802296000).

67306475882880 is an abundant number, since it is smaller than the sum of its proper divisors (185595128709120).

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

67306475882880 is a wasteful number, since it uses less digits than its factorization.

67306475882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22587 (or 22572 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 67306475882880 in words is "sixty-seven trillion, three hundred six billion, four hundred seventy-five million, eight hundred eighty-two thousand, eight hundred eighty".