68217502147740 has 480 divisors, whose sum is σ = 238347484784640. Its totient is φ = 16193467123200.

The previous prime is 68217502147733. The next prime is 68217502147747. The reversal of 68217502147740 is 4774120571286.

68217502147740 is a `hidden beast` number, since 6 + 8 + 2 + 17 + 502 + 14 + 77 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (68217502147733) and next prime (68217502147747).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68217502147747) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 242264751 + ... + 242546169.

It is an arithmetic number, because the mean of its divisors is an integer number (496557259968).

Almost surely, 2^{68217502147740} is an apocalyptic number.

68217502147740 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 68217502147740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119173742392320).

68217502147740 is an abundant number, since it is smaller than the sum of its proper divisors (170129982636900).

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

68217502147740 is a wasteful number, since it uses less digits than its factorization.

68217502147740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281735 (or 281724 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 68217502147740 in words is "sixty-eight trillion, two hundred seventeen billion, five hundred two million, one hundred forty-seven thousand, seven hundred forty".