68260967824 has 225 divisors, whose sum is σ = 163220485419. Its totient is φ = 27652605120.

The previous prime is 68260967821. The next prime is 68260967837. The reversal of 68260967824 is 42876906286.

The square root of 68260967824 is 261268.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68260967821) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1587464347 + ... + 1587464389.

Almost surely, 2^68260967824 is an apocalyptic number.

68260967824 is the 261268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68260967824

68260967824 is an abundant number, since it is smaller than the sum of its proper divisors (94959517595).

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

68260967824 is an frugal number, since it uses more digits than its factorization.

68260967824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 68260967824 in words is "sixty-eight billion, two hundred sixty million, nine hundred sixty-seven thousand, eight hundred twenty-four".