6402126720 has 256 divisors, whose sum is σ = 22477927680. Its totient is φ = 1536983040.

The previous prime is 6402126719. The next prime is 6402126793. The reversal of 6402126720 is 276212046.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2258424 + ... + 2261256.

It is an arithmetic number, because the mean of its divisors is an integer number (87804405).

Almost surely, 2^6402126720 is an apocalyptic number.

6402126720 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 6402126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238963840).

6402126720 is an abundant number, since it is smaller than the sum of its proper divisors (16075800960).

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

6402126720 is a wasteful number, since it uses less digits than its factorization.

6402126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6402126720 is about 80013.2908959505. The cubic root of 6402126720 is about 1856.8411639990.

Adding to 6402126720 its reverse (276212046), we get a palindrome (6678338766).

The spelling of 6402126720 in words is "six billion, four hundred two million, one hundred twenty-six thousand, seven hundred twenty".