6537957120 has 180 divisors, whose sum is σ = 23394377160. Its totient is φ = 1743427584.

The previous prime is 6537957119. The next prime is 6537957163. The reversal of 6537957120 is 217597356.

6537957120 is a `hidden beast` number, since 6 + 5 + 3 + 79 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72151 + ... + 135209.

It is an arithmetic number, because the mean of its divisors is an integer number (129968762).

Almost surely, 2^6537957120 is an apocalyptic number.

6537957120 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 6537957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697188580).

6537957120 is an abundant number, since it is smaller than the sum of its proper divisors (16856420040).

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

6537957120 is an equidigital number, since it uses as much as digits as its factorization.

6537957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63092 (or 63069 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 6537957120 is about 80857.6348899719. The cubic root of 6537957120 is about 1869.8812320310.

The spelling of 6537957120 in words is "six billion, five hundred thirty-seven million, nine hundred fifty-seven thousand, one hundred twenty".