67481568000 has 1728 divisors, whose sum is σ = 322333240320. Its totient is φ = 13123584000.

The previous prime is 67481567999. The next prime is 67481568041. The reversal of 67481568000 is 86518476.

It is a happy number.

67481568000 is a `hidden beast` number, since 6 + 7 + 4 + 81 + 568 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 376991911 + ... + 376992089.

It is an arithmetic number, because the mean of its divisors is an integer number (186535440).

Almost surely, 2^67481568000 is an apocalyptic number.

67481568000 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 67481568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161166620160).

67481568000 is an abundant number, since it is smaller than the sum of its proper divisors (254851672320).

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

67481568000 is a wasteful number, since it uses less digits than its factorization.

67481568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 67481568000 in words is "sixty-seven billion, four hundred eighty-one million, five hundred sixty-eight thousand".