68772389439744 has 243 divisors, whose sum is σ = 199526909634507. Its totient is φ = 22781757100032.

The previous prime is 68772389439713. The next prime is 68772389439763. The reversal of 68772389439744 is 44793498327786.

The square root of 68772389439744 is 8292912.

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

68772389439744 is a `hidden beast` number, since 6 + 8 + 7 + 72 + 38 + 94 + 397 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49943732799744 + 18828656640000 = 7067088^2 + 4339200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78417775434 + ... + 78417776310.

Almost surely, 2^{68772389439744} is an apocalyptic number.

68772389439744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68772389439744 is the 8292912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68772389439744

68772389439744 is an abundant number, since it is smaller than the sum of its proper divisors (130754520194763).

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

68772389439744 is an frugal number, since it uses more digits than its factorization.

68772389439744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1079 counting only the distinct ones).

The product of its digits is 12290310144, while the sum is 81.

The spelling of 68772389439744 in words is "sixty-eight trillion, seven hundred seventy-two billion, three hundred eighty-nine million, four hundred thirty-nine thousand, seven hundred forty-four".