68849964748800 has 3120 divisors, whose sum is σ = 293774815065600. Its totient is φ = 15823326412800.

The previous prime is 68849964748753. The next prime is 68849964748801. The reversal of 68849964748800 is 884746994886.

68849964748800 is a `hidden beast` number, since 6 + 8 + 8 + 4 + 9 + 96 + 47 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×68849964748800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 68849964748800.

It is not an unprimeable number, because it can be changed into a prime (68849964748801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 83051826786 + ... + 83051827614.

Almost surely, 2^{68849964748800} is an apocalyptic number.

68849964748800 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 68849964748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146887407532800).

68849964748800 is an abundant number, since it is smaller than the sum of its proper divisors (224924850316800).

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

68849964748800 is a wasteful number, since it uses less digits than its factorization.

68849964748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 68849964748800 in words is "sixty-eight trillion, eight hundred forty-nine billion, nine hundred sixty-four million, seven hundred forty-eight thousand, eight hundred".