68581001462400 has 960 divisors, whose sum is σ = 291175426080000. Its totient is φ = 15570390343680.

The previous prime is 68581001462333. The next prime is 68581001462419. The reversal of 68581001462400 is 426410018586.

It is a happy number.

68581001462400 is a `hidden beast` number, since 6 + 8 + 5 + 8 + 1 + 0 + 0 + 14 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×68581001462400² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 270218761 + ... + 270472439.

It is an arithmetic number, because the mean of its divisors is an integer number (303307735500).

Almost surely, 2^{68581001462400} is an apocalyptic number.

68581001462400 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 68581001462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145587713040000).

68581001462400 is an abundant number, since it is smaller than the sum of its proper divisors (222594424617600).

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

68581001462400 is a wasteful number, since it uses less digits than its factorization.

68581001462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253871 (or 253845 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 68581001462400 in words is "sixty-eight trillion, five hundred eighty-one billion, one million, four hundred sixty-two thousand, four hundred".