6520957632 has 504 divisors, whose sum is σ = 23308421760. Its totient is φ = 1734082560.

The previous prime is 6520957609. The next prime is 6520957633. The reversal of 6520957632 is 2367590256.

6520957632 is a `hidden beast` number, since 6 + 5 + 2 + 0 + 9 + 5 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6520957633) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25373248 + ... + 25373504.

Almost surely, 2^6520957632 is an apocalyptic number.

6520957632 is a gapful number since it is divisible by the number (62) 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 6520957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654210880).

6520957632 is an abundant number, since it is smaller than the sum of its proper divisors (16787464128).

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

6520957632 is a wasteful number, since it uses less digits than its factorization.

6520957632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 6520957632 is about 80752.4466007068. The cubic root of 6520957632 is about 1868.2591854245.

The spelling of 6520957632 in words is "six billion, five hundred twenty million, nine hundred fifty-seven thousand, six hundred thirty-two".