6526542624 has 192 divisors, whose sum is σ = 20786927616. Its totient is φ = 1750339584.

The previous prime is 6526542587. The next prime is 6526542643. The reversal of 6526542624 is 4262456256.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7390887 + ... + 7391769.

It is an arithmetic number, because the mean of its divisors is an integer number (108265248).

Almost surely, 2^6526542624 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 6526542624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393463808).

6526542624 is an abundant number, since it is smaller than the sum of its proper divisors (14260384992).

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

6526542624 is a wasteful number, since it uses less digits than its factorization.

6526542624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 6526542624 is about 80787.0201455655. The cubic root of 6526542624 is about 1868.7924013392.

The spelling of 6526542624 in words is "six billion, five hundred twenty-six million, five hundred forty-two thousand, six hundred twenty-four".