6401280064 has 63 divisors (see below), whose sum is σ = 12973624167. Its totient is φ = 3133753344.

The previous prime is 6401280047. The next prime is 6401280077. The reversal of 6401280064 is 4600821046.

The square root of 6401280064 is 80008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 153958464 + 6247321600 = 12408^2 + 79040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46724604 + ... + 46724740.

Almost surely, 2^6401280064 is an apocalyptic number.

6401280064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6401280064 is the 80008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401280064

6401280064 is an abundant number, since it is smaller than the sum of its proper divisors (6572344103).

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

6401280064 is an frugal number, since it uses more digits than its factorization.

6401280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 6401280064 is about 1856.7593070845.

Multiplying 6401280064 by its product of nonzero digits (9216), we get a square (58994197069824 = 7680768²).

The spelling of 6401280064 in words is "six billion, four hundred one million, two hundred eighty thousand, sixty-four".