6446764416 has 64 divisors (see below), whose sum is σ = 17142156720. Its totient is φ = 2146670592.

The previous prime is 6446764411. The next prime is 6446764421. The reversal of 6446764416 is 6144676446.

It is an interprime number because it is at equal distance from previous prime (6446764411) and next prime (6446764421).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6446764411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380706 + ... + 397278.

Almost surely, 2^6446764416 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 6446764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571078360).

6446764416 is an abundant number, since it is smaller than the sum of its proper divisors (10695392304).

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

6446764416 is a wasteful number, since it uses less digits than its factorization.

6446764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17591 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 6446764416 is about 80291.7456280532. The cubic root of 6446764416 is about 1861.1466718305.

The spelling of 6446764416 in words is "six billion, four hundred forty-six million, seven hundred sixty-four thousand, four hundred sixteen".