68481572290560 has 2340 divisors, whose sum is σ = 291819058168764. Its totient is φ = 15324547645440.

The previous prime is 68481572290559. The next prime is 68481572290577. The reversal of 68481572290560 is 6509227518486.

68481572290560 is a `hidden beast` number, since 6 + 8 + 4 + 8 + 1 + 572 + 2 + 9 + 0 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16857002409984 + 51624569880576 = 4105728^2 + 7185024^2 .

It is a tau number, because it is divible by the number of its divisors (2340).

It is a super-2 number, since 2×68481572290560² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 155 ways as a sum of consecutive naturals, for example, 5267813253114 + ... + 5267813253126.

Almost surely, 2^{68481572290560} is an apocalyptic number.

68481572290560 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 68481572290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145909529084382).

68481572290560 is an abundant number, since it is smaller than the sum of its proper divisors (223337485878204).

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

68481572290560 is an frugal number, since it uses more digits than its factorization.

68481572290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 68481572290560 in words is "sixty-eight trillion, four hundred eighty-one billion, five hundred seventy-two million, two hundred ninety thousand, five hundred sixty".