68128151040 has 360 divisors, whose sum is σ = 249049202688. Its totient is φ = 17209221120.

The previous prime is 68128150939. The next prime is 68128151093. The reversal of 68128151040 is 4015182186.

68128151040 is a `hidden beast` number, since 6 + 81 + 28 + 1 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68128150986 and 68128151004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8313345 + ... + 8321535.

Almost surely, 2^68128151040 is an apocalyptic number.

68128151040 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 68128151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124524601344).

68128151040 is an abundant number, since it is smaller than the sum of its proper divisors (180921051648).

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

68128151040 is a wasteful number, since it uses less digits than its factorization.

68128151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 68128151040 in words is "sixty-eight billion, one hundred twenty-eight million, one hundred fifty-one thousand, forty".