68000449284864 has 216 divisors, whose sum is σ = 201390865756080. Its totient is φ = 22050932465664.

The previous prime is 68000449284821. The next prime is 68000449284953. The reversal of 68000449284864 is 46848294400086.

68000449284864 is a `hidden beast` number, since 6 + 8 + 0 + 0 + 0 + 4 + 492 + 84 + 8 + 64 = 666.

It is a super-2 number, since 2×68000449284864² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612621882 + ... + 612732870.

Almost surely, 2^{68000449284864} is an apocalyptic number.

68000449284864 is a gapful number since it is divisible by the number (64) 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 68000449284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100695432878040).

68000449284864 is an abundant number, since it is smaller than the sum of its proper divisors (133390416471216).

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

68000449284864 is a wasteful number, since it uses less digits than its factorization.

68000449284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118235 (or 118218 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 68000449284864 in words is "sixty-eight trillion, four hundred forty-nine million, two hundred eighty-four thousand, eight hundred sixty-four".