68913431838720 has 1760 divisors, whose sum is σ = 288233575901568. Its totient is φ = 15426851438592.

The previous prime is 68913431838709. The next prime is 68913431838721. The reversal of 68913431838720 is 2783813431986.

68913431838720 is a `hidden beast` number, since 6 + 8 + 91 + 343 + 183 + 8 + 7 + 20 = 666.

It is a super-2 number, since 2×68913431838720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68913431838721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 398343536554 + ... + 398343536726.

Almost surely, 2^{68913431838720} is an apocalyptic number.

68913431838720 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 68913431838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144116787950784).

68913431838720 is an abundant number, since it is smaller than the sum of its proper divisors (219320144062848).

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

68913431838720 is an frugal number, since it uses more digits than its factorization.

68913431838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 68913431838720 in words is "sixty-eight trillion, nine hundred thirteen billion, four hundred thirty-one million, eight hundred thirty-eight thousand, seven hundred twenty".