68325180456960 has 720 divisors, whose sum is σ = 273482214934656. Its totient is φ = 15456068960256.

The previous prime is 68325180456937. The next prime is 68325180456983. The reversal of 68325180456960 is 6965408152386.

It is a happy number.

68325180456960 is a `hidden beast` number, since 6 + 8 + 3 + 2 + 5 + 1 + 8 + 0 + 4 + 569 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (68325180456937) and next prime (68325180456983).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×68325180456960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500544879 + ... + 500681361.

Almost surely, 2^{68325180456960} is an apocalyptic number.

68325180456960 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 68325180456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136741107467328).

68325180456960 is an abundant number, since it is smaller than the sum of its proper divisors (205157034477696).

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

68325180456960 is a wasteful number, since it uses less digits than its factorization.

68325180456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136626 (or 136597 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 68325180456960 in words is "sixty-eight trillion, three hundred twenty-five billion, one hundred eighty million, four hundred fifty-six thousand, nine hundred sixty".