68966132040 has 576 divisors, whose sum is σ = 255983036400. Its totient is φ = 16004431872.

The previous prime is 68966131979. The next prime is 68966132051. The reversal of 68966132040 is 4023166986.

68966132040 is a `hidden beast` number, since 6 + 8 + 9 + 6 + 613 + 20 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19044 + 68966112996 = 138^2 + 262614^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220338924 + ... + 220339236.

Almost surely, 2^68966132040 is an apocalyptic number.

68966132040 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 68966132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127991518200).

68966132040 is an abundant number, since it is smaller than the sum of its proper divisors (187016904360).

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

68966132040 is a wasteful number, since it uses less digits than its factorization.

68966132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 68966132040 in words is "sixty-eight billion, nine hundred sixty-six million, one hundred thirty-two thousand, forty".