67480770350224 has 405 divisors, whose sum is σ = 169248241072281. Its totient is φ = 25968865655040.

The previous prime is 67480770350209. The next prime is 67480770350263. The reversal of 67480770350224 is 42205307708476.

The square root of 67480770350224 is 8214668.

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., 7905836839824 + 59574933510400 = 2811732^2 + 7718480^2 .

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, 376987543767 + ... + 376987543945.

Almost surely, 2^{67480770350224} is an apocalyptic number.

67480770350224 is the 8214668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67480770350224

67480770350224 is an abundant number, since it is smaller than the sum of its proper divisors (101767470722057).

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

67480770350224 is a wasteful number, since it uses less digits than its factorization.

67480770350224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 55.

The spelling of 67480770350224 in words is "sixty-seven trillion, four hundred eighty billion, seven hundred seventy million, three hundred fifty thousand, two hundred twenty-four".