68673792312288 has 1152 divisors, whose sum is σ = 222238070046720. Its totient is φ = 20794034257920.

The previous prime is 68673792312277. The next prime is 68673792312329. The reversal of 68673792312288 is 88221329737686.

68673792312288 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 379 + 23 + 1 + 228 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 90241513828 + ... + 90241514588.

It is an arithmetic number, because the mean of its divisors is an integer number (192914991360).

Almost surely, 2^{68673792312288} 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 68673792312288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111119035023360).

68673792312288 is an abundant number, since it is smaller than the sum of its proper divisors (153564277734432).

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

68673792312288 is a wasteful number, since it uses less digits than its factorization.

68673792312288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1082 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 68673792312288 in words is "sixty-eight trillion, six hundred seventy-three billion, seven hundred ninety-two million, three hundred twelve thousand, two hundred eighty-eight".