6390005760 has 420 divisors, whose sum is σ = 23207686488. Its totient is φ = 1688076288.

The previous prime is 6390005749. The next prime is 6390005777. The reversal of 6390005760 is 675000936.

It is a happy number.

It is a super-2 number, since 2×6390005760² = 81664347225666355200, which contains 22 as substring.

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719627 + ... + 59719733.

Almost surely, 2^6390005760 is an apocalyptic number.

6390005760 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 6390005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603843244).

6390005760 is an abundant number, since it is smaller than the sum of its proper divisors (16817680728).

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

6390005760 is an frugal number, since it uses more digits than its factorization.

6390005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 6390005760 is about 79937.5115949952. The cubic root of 6390005760 is about 1855.6685892606.

The spelling of 6390005760 in words is "six billion, three hundred ninety million, five thousand, seven hundred sixty".