68773900800 has 480 divisors, whose sum is σ = 258656302080. Its totient is φ = 15945318400.

The previous prime is 68773900781. The next prime is 68773900801. The reversal of 68773900800 is 800937786.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68773900800.

It is not an unprimeable number, because it can be changed into a prime (68773900801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9711661 + ... + 9718739.

It is an arithmetic number, because the mean of its divisors is an integer number (538867296).

Almost surely, 2^68773900800 is an apocalyptic number.

68773900800 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 68773900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129328151040).

68773900800 is an abundant number, since it is smaller than the sum of its proper divisors (189882401280).

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

68773900800 is a wasteful number, since it uses less digits than its factorization.

68773900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 68773900800 in words is "sixty-eight billion, seven hundred seventy-three million, nine hundred thousand, eight hundred".