6170713064464 has 405 divisors, whose sum is σ = 14196006579069. Its totient is φ = 2596969140480.

The previous prime is 6170713064449. The next prime is 6170713064501. The reversal of 6170713064464 is 4644603170716.

The square root of 6170713064464 is 2484092.

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., 912827376400 + 5257885688064 = 955420^2 + 2293008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 92100194959 + ... + 92100195025.

Almost surely, 2^{6170713064464} is an apocalyptic number.

6170713064464 is the 2484092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6170713064464

6170713064464 is an abundant number, since it is smaller than the sum of its proper divisors (8025293514605).

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

6170713064464 is a wasteful number, since it uses less digits than its factorization.

6170713064464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 6170713064464 by its sum of digits (49), we get a square (302364940158736 = 17388644²).

The spelling of 6170713064464 in words is "six trillion, one hundred seventy billion, seven hundred thirteen million, sixty-four thousand, four hundred sixty-four".