5670013440 has 960 divisors, whose sum is σ = 24294695040. Its totient is φ = 1114767360.

The previous prime is 5670013423. The next prime is 5670013463. The reversal of 5670013440 is 443100765.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5670013398 and 5670013407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92951010 + ... + 92951070.

It is an arithmetic number, because the mean of its divisors is an integer number (25306974).

Almost surely, 2^5670013440 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 5670013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147347520).

5670013440 is an abundant number, since it is smaller than the sum of its proper divisors (18624681600).

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

5670013440 is a wasteful number, since it uses less digits than its factorization.

5670013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5670013440 is about 75299.4916317501. The cubic root of 5670013440 is about 1783.1779947575.

The spelling of 5670013440 in words is "five billion, six hundred seventy million, thirteen thousand, four hundred forty".