68746309632 has 1456 divisors, whose sum is σ = 288780323328. Its totient is φ = 15765995520.

The previous prime is 68746309589. The next prime is 68746309649. The reversal of 68746309632 is 23690364786.

68746309632 is a `hidden beast` number, since 68 + 7 + 463 + 0 + 96 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2988969973 + ... + 2988969995.

Almost surely, 2^68746309632 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 68746309632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144390161664).

68746309632 is an abundant number, since it is smaller than the sum of its proper divisors (220034013696).

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

68746309632 is a wasteful number, since it uses less digits than its factorization.

68746309632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 68746309632 in words is "sixty-eight billion, seven hundred forty-six million, three hundred nine thousand, six hundred thirty-two".