4967010070064 has 160 divisors (see below), whose sum is σ = 11587358361600. Its totient is φ = 2016538546176.

The previous prime is 4967010070013. The next prime is 4967010070069. The reversal of 4967010070064 is 4600700107694.

It is a super-2 number, since 2×4967010070064² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4967010069997 and 4967010070024.

It is not an unprimeable number, because it can be changed into a prime (4967010070069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407226014 + ... + 407238210.

It is an arithmetic number, because the mean of its divisors is an integer number (72420989760).

Almost surely, 2^{4967010070064} 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 4967010070064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793679180800).

4967010070064 is an abundant number, since it is smaller than the sum of its proper divisors (6620348291536).

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

4967010070064 is a wasteful number, since it uses less digits than its factorization.

4967010070064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13747 (or 13741 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 4967010070064 in words is "four trillion, nine hundred sixty-seven billion, ten million, seventy thousand, sixty-four".