6240538080 has 720 divisors, whose sum is σ = 26529503616. Its totient is φ = 1376040960.

The previous prime is 6240538063. The next prime is 6240538093. The reversal of 6240538080 is 808350426.

6240538080 is a `hidden beast` number, since 6 + 2 + 40 + 538 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19686082 + ... + 19686398.

Almost surely, 2^6240538080 is an apocalyptic number.

6240538080 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 6240538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264751808).

6240538080 is an abundant number, since it is smaller than the sum of its proper divisors (20288965536).

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

6240538080 is a wasteful number, since it uses less digits than its factorization.

6240538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6240538080 is about 78997.0764015986. The cubic root of 6240538080 is about 1841.0857328742.

The spelling of 6240538080 in words is "six billion, two hundred forty million, five hundred thirty-eight thousand, eighty".