68637083074560 has 4608 divisors, whose sum is σ = 332270628768000. Its totient is φ = 12984810209280.

The previous prime is 68637083074531. The next prime is 68637083074579. The reversal of 68637083074560 is 6547038073686.

68637083074560 is a `hidden beast` number, since 6 + 8 + 6 + 37 + 0 + 8 + 30 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-3 number, since 3×68637083074560³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 287 ways as a sum of consecutive naturals, for example, 940234014684 + ... + 940234014756.

Almost surely, 2^{68637083074560} is an apocalyptic number.

68637083074560 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 68637083074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166135314384000).

68637083074560 is an abundant number, since it is smaller than the sum of its proper divisors (263633545693440).

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

68637083074560 is a wasteful number, since it uses less digits than its factorization.

68637083074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 68637083074560 in words is "sixty-eight trillion, six hundred thirty-seven billion, eighty-three million, seventy-four thousand, five hundred sixty".