5067712340964 has 1215 divisors, whose sum is σ = 17647362836649. Its totient is φ = 1225350322560.

The previous prime is 5067712340941. The next prime is 5067712340981. The reversal of 5067712340964 is 4690432177605.

The square root of 5067712340964 is 2251158.

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

5067712340964 is a `hidden beast` number, since 50 + 6 + 7 + 7 + 123 + 409 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 749661588900 + 4318050752064 = 865830^2 + 2077992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5067712340964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 163474591629 + ... + 163474591659.

Almost surely, 2^{5067712340964} is an apocalyptic number.

5067712340964 is the 2251158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5067712340964

5067712340964 is an abundant number, since it is smaller than the sum of its proper divisors (12579650495685).

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

5067712340964 is a wasteful number, since it uses less digits than its factorization.

5067712340964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 5067712340964 in words is "five trillion, sixty-seven billion, seven hundred twelve million, three hundred forty thousand, nine hundred sixty-four".