68971969048320 has 720 divisors, whose sum is σ = 272261116999872. Its totient is φ = 16563611566080.

The previous prime is 68971969048217. The next prime is 68971969048373. The reversal of 68971969048320 is 2384096917986.

68971969048320 is a `hidden beast` number, since 6 + 8 + 97 + 1 + 96 + 90 + 48 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54637389 + ... + 55885491.

Almost surely, 2^{68971969048320} is an apocalyptic number.

68971969048320 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 68971969048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136130558499936).

68971969048320 is an abundant number, since it is smaller than the sum of its proper divisors (203289147951552).

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

68971969048320 is a wasteful number, since it uses less digits than its factorization.

68971969048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248190 (or 1248167 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 68971969048320 in words is "sixty-eight trillion, nine hundred seventy-one billion, nine hundred sixty-nine million, forty-eight thousand, three hundred twenty".