6524646464 has 56 divisors (see below), whose sum is σ = 14859121920. Its totient is φ = 2784531456.

The previous prime is 6524646449. The next prime is 6524646497. The reversal of 6524646464 is 4646464256.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×6524646464² = 85142022960375406592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76604 + ... + 137540.

Almost surely, 2^6524646464 is an apocalyptic number.

6524646464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6524646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429560960).

6524646464 is an abundant number, since it is smaller than the sum of its proper divisors (8334475456).

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

6524646464 is a wasteful number, since it uses less digits than its factorization.

6524646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61195 (or 61185 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 47.

The square root of 6524646464 is about 80775.2837444722. The cubic root of 6524646464 is about 1868.6114033832.

The spelling of 6524646464 in words is "six billion, five hundred twenty-four million, six hundred forty-six thousand, four hundred sixty-four".