67381776400 has 45 divisors (see below), whose sum is σ = 161897191581. Its totient is φ = 26950633920.

The previous prime is 67381776389. The next prime is 67381776437. The reversal of 67381776400 is 467718376.

The square root of 67381776400 is 259580.

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

It can be written as a sum of positive squares in only one way, i.e., 24257439504 + 43124336896 = 155748^2 + 207664^2 .

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, 5185111 + ... + 5198089.

Almost surely, 2^67381776400 is an apocalyptic number.

67381776400 is the 259580-th square number.

It is an amenable number.

67381776400 is an abundant number, since it is smaller than the sum of its proper divisors (94515415181).

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

67381776400 is an frugal number, since it uses more digits than its factorization.

67381776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25976 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

Multiplying 67381776400 by its sum of digits (49), we get a square (3301707043600 = 1817060²).

The spelling of 67381776400 in words is "sixty-seven billion, three hundred eighty-one million, seven hundred seventy-six thousand, four hundred".