5067713064960 has 2496 divisors, whose sum is σ = 22839726735360. Its totient is φ = 1043422248960.

The previous prime is 5067713064937. The next prime is 5067713064983. The reversal of 5067713064960 is 694603177605.

It is a happy number.

5067713064960 is a `hidden beast` number, since 50 + 6 + 7 + 71 + 30 + 6 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5067713064937) and next prime (5067713064983).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5067713064897 and 5067713064906.

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 191 ways as a sum of consecutive naturals, for example, 39903252417 + ... + 39903252543.

Almost surely, 2^{5067713064960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5067713064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419863367680).

5067713064960 is an abundant number, since it is smaller than the sum of its proper divisors (17772013670400).

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

5067713064960 is a wasteful number, since it uses less digits than its factorization.

5067713064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 5067713064960 in words is "five trillion, sixty-seven billion, seven hundred thirteen million, sixty-four thousand, nine hundred sixty".