6457087104 has 384 divisors, whose sum is σ = 19890489600. Its totient is φ = 1851752448.

The previous prime is 6457087103. The next prime is 6457087121. The reversal of 6457087104 is 4017807546.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (6457087103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88453212 + ... + 88453284.

It is an arithmetic number, because the mean of its divisors is an integer number (51798150).

Almost surely, 2^6457087104 is an apocalyptic number.

6457087104 is a gapful number since it is divisible by the number (64) 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 6457087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945244800).

6457087104 is an abundant number, since it is smaller than the sum of its proper divisors (13433402496).

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

6457087104 is a wasteful number, since it uses less digits than its factorization.

6457087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 6457087104 is about 80356.0022898103. The cubic root of 6457087104 is about 1862.1395105144.

The spelling of 6457087104 in words is "six billion, four hundred fifty-seven million, eighty-seven thousand, one hundred four".