68621823648 has 288 divisors, whose sum is σ = 232860700800. Its totient is φ = 19472348160.

The previous prime is 68621823601. The next prime is 68621823713. The reversal of 68621823648 is 84632812686.

68621823648 is a `hidden beast` number, since 6 + 8 + 621 + 8 + 2 + 3 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68621823594 and 68621823603.

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, 8106138 + ... + 8114598.

It is an arithmetic number, because the mean of its divisors is an integer number (808544100).

Almost surely, 2^68621823648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68621823648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116430350400).

68621823648 is an abundant number, since it is smaller than the sum of its proper divisors (164238877152).

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

68621823648 is a wasteful number, since it uses less digits than its factorization.

68621823648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8622 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 68621823648 in words is "sixty-eight billion, six hundred twenty-one million, eight hundred twenty-three thousand, six hundred forty-eight".