68634232771104 has 1152 divisors, whose sum is σ = 277420394119680. Its totient is φ = 16054308864000.

The previous prime is 68634232771087. The next prime is 68634232771133. The reversal of 68634232771104 is 40117723243686.

68634232771104 is a `hidden beast` number, since 6 + 86 + 3 + 423 + 27 + 7 + 110 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 389965684 + ... + 390141644.

It is an arithmetic number, because the mean of its divisors is an integer number (240816314340).

Almost surely, 2^{68634232771104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68634232771104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138710197059840).

68634232771104 is an abundant number, since it is smaller than the sum of its proper divisors (208786161348576).

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

68634232771104 is a wasteful number, since it uses less digits than its factorization.

68634232771104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176063 (or 176038 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 68634232771104 in words is "sixty-eight trillion, six hundred thirty-four billion, two hundred thirty-two million, seven hundred seventy-one thousand, one hundred four".