68219883648 has 768 divisors, whose sum is σ = 249296486400. Its totient is φ = 17468006400.

The previous prime is 68219883637. The next prime is 68219883757. The reversal of 68219883648 is 84638891286.

68219883648 is a `hidden beast` number, since 6 + 82 + 198 + 8 + 364 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251733753 + ... + 251734023.

It is an arithmetic number, because the mean of its divisors is an integer number (324604800).

Almost surely, 2^68219883648 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 68219883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124648243200).

68219883648 is an abundant number, since it is smaller than the sum of its proper divisors (181076602752).

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

68219883648 is a wasteful number, since it uses less digits than its factorization.

68219883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 68219883648 in words is "sixty-eight billion, two hundred nineteen million, eight hundred eighty-three thousand, six hundred forty-eight".