68601600000 has 576 divisors, whose sum is σ = 254641514400. Its totient is φ = 18247680000.

The previous prime is 68601599981. The next prime is 68601600047. The reversal of 68601600000 is 610686.

68601600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172799802 + ... + 172800198.

Almost surely, 2^68601600000 is an apocalyptic number.

68601600000 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 68601600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127320757200).

68601600000 is an abundant number, since it is smaller than the sum of its proper divisors (186039914400).

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

68601600000 is an frugal number, since it uses more digits than its factorization.

68601600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 68601600000 in words is "sixty-eight billion, six hundred one million, six hundred thousand".