68290266562560 has 2304 divisors, whose sum is σ = 297370803366000. Its totient is φ = 14400085819392.

The previous prime is 68290266562549. The next prime is 68290266562751. The reversal of 68290266562560 is 6526566209286.

68290266562560 is a `hidden beast` number, since 6 + 8 + 2 + 9 + 0 + 2 + 6 + 6 + 5 + 62 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59971518480384 + 8318748082176 = 7744128^2 + 2884224^2 .

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65100348916 + ... + 65100349964.

Almost surely, 2^{68290266562560} is an apocalyptic number.

68290266562560 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 68290266562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148685401683000).

68290266562560 is an abundant number, since it is smaller than the sum of its proper divisors (229080536803440).

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

68290266562560 is a wasteful number, since it uses less digits than its factorization.

68290266562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 68290266562560 in words is "sixty-eight trillion, two hundred ninety billion, two hundred sixty-six million, five hundred sixty-two thousand, five hundred sixty".