68260602009600 has 7776 divisors, whose sum is σ = 358889063223600. Its totient is φ = 12641461862400.

The previous prime is 68260602009547. The next prime is 68260602009617. The reversal of 68260602009600 is 690020606286.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 2353813862386 + ... + 2353813862414.

Almost surely, 2^{68260602009600} is an apocalyptic number.

68260602009600 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 68260602009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179444531611800).

68260602009600 is an abundant number, since it is smaller than the sum of its proper divisors (290628461214000).

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

68260602009600 is a wasteful number, since it uses less digits than its factorization.

68260602009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 68260602009600 in words is "sixty-eight trillion, two hundred sixty billion, six hundred two million, nine thousand, six hundred".