68667033600 has 1728 divisors, whose sum is σ = 304180531200. Its totient is φ = 14598144000.

The previous prime is 68667033559. The next prime is 68667033629. The reversal of 68667033600 is 633076686.

68667033600 is a `hidden beast` number, since 6 + 8 + 6 + 6 + 7 + 0 + 33 + 600 = 666.

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 143 ways as a sum of consecutive naturals, for example, 2215065585 + ... + 2215065615.

It is an arithmetic number, because the mean of its divisors is an integer number (176030400).

Almost surely, 2^68667033600 is an apocalyptic number.

68667033600 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 68667033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152090265600).

68667033600 is an abundant number, since it is smaller than the sum of its proper divisors (235513497600).

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

68667033600 is a wasteful number, since it uses less digits than its factorization.

68667033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 68667033600 in words is "sixty-eight billion, six hundred sixty-seven million, thirty-three thousand, six hundred".