6390545760 has 192 divisors, whose sum is σ = 22701772800. Its totient is φ = 1678634496.

The previous prime is 6390545731. The next prime is 6390545857. The reversal of 6390545760 is 675450936.

6390545760 is a `hidden beast` number, since 6 + 39 + 0 + 545 + 76 + 0 = 666.

It is a super-2 number, since 2×6390545760² = 81678150221307955200, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278401 + ... + 300479.

It is an arithmetic number, because the mean of its divisors is an integer number (118238400).

Almost surely, 2^6390545760 is an apocalyptic number.

6390545760 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 6390545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350886400).

6390545760 is an abundant number, since it is smaller than the sum of its proper divisors (16311227040).

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

6390545760 is a wasteful number, since it uses less digits than its factorization.

6390545760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22170 (or 22156 counting only the distinct ones).

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

The square root of 6390545760 is about 79940.8891619301. The cubic root of 6390545760 is about 1855.7208600957.

The spelling of 6390545760 in words is "six billion, three hundred ninety million, five hundred forty-five thousand, seven hundred sixty".