67441509949284 has 243 divisors, whose sum is σ = 178605524151873. Its totient is φ = 21456514372608.

The previous prime is 67441509949271. The next prime is 67441509949349. The reversal of 67441509949284 is 48294990514476.

The square root of 67441509949284 is 8212278.

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

67441509949284 is a `hidden beast` number, since 6 + 7 + 4 + 4 + 1 + 50 + 9 + 9 + 492 + 84 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 47903978412900 + 19537531536384 = 6921270^2 + 4420128^2 .

It is a super-2 number, since 2×67441509949284² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 155754064332 + ... + 155754064764.

Almost surely, 2^{67441509949284} is an apocalyptic number.

67441509949284 is the 8212278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67441509949284

67441509949284 is an abundant number, since it is smaller than the sum of its proper divisors (111164014202589).

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

67441509949284 is a wasteful number, since it uses less digits than its factorization.

67441509949284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 67441509949284 in words is "sixty-seven trillion, four hundred forty-one billion, five hundred nine million, nine hundred forty-nine thousand, two hundred eighty-four".