68661132632064 has 672 divisors, whose sum is σ = 232735954339200. Its totient is φ = 19495943405568.

The previous prime is 68661132632039. The next prime is 68661132632069. The reversal of 68661132632064 is 46023623116686.

68661132632064 is a `hidden beast` number, since 6 + 8 + 66 + 113 + 263 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×68661132632064² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68661132632064.

It is not an unprimeable number, because it can be changed into a prime (68661132632069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4122050424 + ... + 4122067080.

Almost surely, 2^{68661132632064} is an apocalyptic number.

68661132632064 is a gapful number since it is divisible by the number (64) 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 68661132632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116367977169600).

68661132632064 is an abundant number, since it is smaller than the sum of its proper divisors (164074821707136).

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

68661132632064 is a wasteful number, since it uses less digits than its factorization.

68661132632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16873 (or 16832 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 68661132632064 in words is "sixty-eight trillion, six hundred sixty-one billion, one hundred thirty-two million, six hundred thirty-two thousand, sixty-four".