68003781672960 has 2760 divisors, whose sum is σ = 305480854689120. Its totient is φ = 14383174385664.

The previous prime is 68003781672949. The next prime is 68003781672973. The reversal of 68003781672960 is 6927618730086.

68003781672960 is a `hidden beast` number, since 6 + 80 + 0 + 378 + 167 + 29 + 6 + 0 = 666.

It is a super-2 number, since 2×68003781672960² (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 119 ways as a sum of consecutive naturals, for example, 1581483294699 + ... + 1581483294741.

Almost surely, 2^{68003781672960} is an apocalyptic number.

68003781672960 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 68003781672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152740427344560).

68003781672960 is an abundant number, since it is smaller than the sum of its proper divisors (237477073016160).

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

68003781672960 is an frugal number, since it uses more digits than its factorization.

68003781672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 68003781672960 in words is "sixty-eight trillion, three billion, seven hundred eighty-one million, six hundred seventy-two thousand, nine hundred sixty".