68400840220416 has 720 divisors, whose sum is σ = 224813479672320. Its totient is φ = 20512545546240.

The previous prime is 68400840220373. The next prime is 68400840220439. The reversal of 68400840220416 is 61402204800486.

68400840220416 is a `hidden beast` number, since 6 + 8 + 4 + 0 + 0 + 8 + 4 + 0 + 220 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38362781061 + ... + 38362782843.

Almost surely, 2^{68400840220416} is an apocalyptic number.

68400840220416 is a gapful number since it is divisible by the number (66) 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 68400840220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112406739836160).

68400840220416 is an abundant number, since it is smaller than the sum of its proper divisors (156412639451904).

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

68400840220416 is a wasteful number, since it uses less digits than its factorization.

68400840220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 68400840220416 in words is "sixty-eight trillion, four hundred billion, eight hundred forty million, two hundred twenty thousand, four hundred sixteen".