67738331908900 has 27 divisors (see below), whose sum is σ = 146992358840691. Its totient is φ = 27095299842240.

The previous prime is 67738331908883. The next prime is 67738331908921. The reversal of 67738331908900 is 980913383776.

The square root of 67738331908900 is 8230330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25047162221796 + 42691169687104 = 5004714^2 + 6533848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81891784 + ... + 82714816.

Almost surely, 2^{67738331908900} is an apocalyptic number.

67738331908900 is the 8230330-th square number.

It is an amenable number.

67738331908900 is an abundant number, since it is smaller than the sum of its proper divisors (79254026931791).

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

67738331908900 is an frugal number, since it uses more digits than its factorization.

67738331908900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646080 (or 823040 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 64.

The spelling of 67738331908900 in words is "sixty-seven trillion, seven hundred thirty-eight billion, three hundred thirty-one million, nine hundred eight thousand, nine hundred".