6532646120 has 512 divisors, whose sum is σ = 21521203200. Its totient is φ = 1716940800.

The previous prime is 6532646059. The next prime is 6532646167. The reversal of 6532646120 is 216462356.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23583422 + ... + 23583698.

It is an arithmetic number, because the mean of its divisors is an integer number (42033600).

Almost surely, 2^6532646120 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 6532646120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760601600).

6532646120 is an abundant number, since it is smaller than the sum of its proper divisors (14988557080).

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

6532646120 is a wasteful number, since it uses less digits than its factorization.

6532646120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 6532646120 is about 80824.7865447228. The cubic root of 6532646120 is about 1869.3747726313.

The spelling of 6532646120 in words is "six billion, five hundred thirty-two million, six hundred forty-six thousand, one hundred twenty".