6428263680 has 378 divisors, whose sum is σ = 23367485274. Its totient is φ = 1693550592.

The previous prime is 6428263619. The next prime is 6428263789. The reversal of 6428263680 is 863628246.

6428263680 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 2 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5142610944 + 1285652736 = 71712^2 + 35856^2 .

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 41 ways as a sum of consecutive naturals, for example, 77448919 + ... + 77449001.

Almost surely, 2^6428263680 is an apocalyptic number.

6428263680 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 6428263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683742637).

6428263680 is an abundant number, since it is smaller than the sum of its proper divisors (16939221594).

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

6428263680 is an frugal number, since it uses more digits than its factorization.

6428263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6428263680 is about 80176.4534012325. The cubic root of 6428263680 is about 1859.3646112754.

Multiplying 6428263680 by its sum of digits (45), we get a square (289271865600 = 537840²).

6428263680 divided by its sum of digits (45) gives a square (142850304 = 11952²).

The spelling of 6428263680 in words is "six billion, four hundred twenty-eight million, two hundred sixty-three thousand, six hundred eighty".