68766411369600 has 4608 divisors, whose sum is σ = 312349270867200. Its totient is φ = 14898865766400.

The previous prime is 68766411369571. The next prime is 68766411369637. The reversal of 68766411369600 is 696311466786.

68766411369600 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 6 + 4 + 1 + 13 + 6 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 942005635164 + ... + 942005635236.

Almost surely, 2^{68766411369600} is an apocalyptic number.

68766411369600 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 68766411369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156174635433600).

68766411369600 is an abundant number, since it is smaller than the sum of its proper divisors (243582859497600).

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

68766411369600 is an equidigital number, since it uses as much as digits as its factorization.

68766411369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 68766411369600 in words is "sixty-eight trillion, seven hundred sixty-six billion, four hundred eleven million, three hundred sixty-nine thousand, six hundred".