67490844100 has 81 divisors (see below), whose sum is σ = 148716036903. Its totient is φ = 26585869440.

The previous prime is 67490844037. The next prime is 67490844133. The reversal of 67490844100 is 144809476.

The square root of 67490844100 is 259790.

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 37915099524 + 29575744576 = 194718^2 + 171976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215625544 + ... + 215625856.

Almost surely, 2^67490844100 is an apocalyptic number.

67490844100 is the 259790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67490844100

67490844100 is an abundant number, since it is smaller than the sum of its proper divisors (81225192803).

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

67490844100 is an equidigital number, since it uses as much as digits as its factorization.

67490844100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 67490844100 in words is "sixty-seven billion, four hundred ninety million, eight hundred forty-four thousand, one hundred".