68007646800 has 360 divisors, whose sum is σ = 240424486848. Its totient is φ = 17798400000.

The previous prime is 68007646799. The next prime is 68007646843. The reversal of 68007646800 is 864670086.

It is a happy number.

68007646800 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 (360).

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 71 ways as a sum of consecutive naturals, for example, 65962285 + ... + 65963315.

Almost surely, 2^68007646800 is an apocalyptic number.

68007646800 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 68007646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120212243424).

68007646800 is an abundant number, since it is smaller than the sum of its proper divisors (172416840048).

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

68007646800 is a wasteful number, since it uses less digits than its factorization.

68007646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 68007646800 in words is "sixty-eight billion, seven million, six hundred forty-six thousand, eight hundred".