68127153905664 has 392 divisors, whose sum is σ = 233457903344880. Its totient is φ = 19464889171968.

The previous prime is 68127153905639. The next prime is 68127153905719. The reversal of 68127153905664 is 46650935172186.

It is a happy number.

68127153905664 is a `hidden beast` number, since 6 + 8 + 1 + 27 + 15 + 39 + 0 + 566 + 4 = 666.

It is a super-2 number, since 2×68127153905664² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40988932 + ... + 42618620.

It is a 1-persistent number, because it is pandigital, but 2⋅68127153905664 = 136254307811328 is not.

Almost surely, 2^{68127153905664} is an apocalyptic number.

68127153905664 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 68127153905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116728951672440).

68127153905664 is an abundant number, since it is smaller than the sum of its proper divisors (165330749439216).

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

68127153905664 is an frugal number, since it uses more digits than its factorization.

68127153905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629740 (or 1629701 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 68127153905664 in words is "sixty-eight trillion, one hundred twenty-seven billion, one hundred fifty-three million, nine hundred five thousand, six hundred sixty-four".