6536624640 has 640 divisors, whose sum is σ = 26398310400. Its totient is φ = 1343029248.

The previous prime is 6536624539. The next prime is 6536624683. The reversal of 6536624640 is 464266356.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 6536624592 and 6536624601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32847261 + ... + 32847459.

It is an arithmetic number, because the mean of its divisors is an integer number (41247360).

Almost surely, 2^6536624640 is an apocalyptic number.

6536624640 is a gapful number since it is divisible by the number (60) 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 6536624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199155200).

6536624640 is an abundant number, since it is smaller than the sum of its proper divisors (19861685760).

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

6536624640 is a wasteful number, since it uses less digits than its factorization.

6536624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 6536624640 is about 80849.3948029297. The cubic root of 6536624640 is about 1869.7541919080.

The spelling of 6536624640 in words is "six billion, five hundred thirty-six million, six hundred twenty-four thousand, six hundred forty".