68503966090560 has 3584 divisors, whose sum is σ = 336902390415360. Its totient is φ = 12641461862400.

The previous prime is 68503966090541. The next prime is 68503966090583. The reversal of 68503966090560 is 6509066930586.

68503966090560 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 3 + 9 + 6 + 60 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×68503966090560² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 52817243832 + ... + 52817245128.

It is an arithmetic number, because the mean of its divisors is an integer number (94001783040).

Almost surely, 2^{68503966090560} is an apocalyptic number.

68503966090560 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 68503966090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168451195207680).

68503966090560 is an abundant number, since it is smaller than the sum of its proper divisors (268398424324800).

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

68503966090560 is a wasteful number, since it uses less digits than its factorization.

68503966090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 68503966090560 in words is "sixty-eight trillion, five hundred three billion, nine hundred sixty-six million, ninety thousand, five hundred sixty".