68064051600 has 240 divisors, whose sum is σ = 243494951040. Its totient is φ = 18057715200.

The previous prime is 68064051499. The next prime is 68064051611. The reversal of 68064051600 is 615046086.

68064051600 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 40 + 5 + 1 + 600 = 666.

68064051600 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2111605 + ... + 2143595.

It is an arithmetic number, because the mean of its divisors is an integer number (1014562296).

Almost surely, 2^68064051600 is an apocalyptic number.

68064051600 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 68064051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121747475520).

68064051600 is an abundant number, since it is smaller than the sum of its proper divisors (175430899440).

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

68064051600 is a wasteful number, since it uses less digits than its factorization.

68064051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32215 (or 32198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 68064051600 its reverse (615046086), we get a palindrome (68679097686).

The spelling of 68064051600 in words is "sixty-eight billion, sixty-four million, fifty-one thousand, six hundred".