6402564480 has 512 divisors, whose sum is σ = 23688806400. Its totient is φ = 1456865280.

The previous prime is 6402564461. The next prime is 6402564491. The reversal of 6402564480 is 844652046.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33521185 + ... + 33521375.

It is an arithmetic number, because the mean of its divisors is an integer number (46267200).

Almost surely, 2^6402564480 is an apocalyptic number.

6402564480 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 6402564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844403200).

6402564480 is an abundant number, since it is smaller than the sum of its proper divisors (17286241920).

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

6402564480 is a wasteful number, since it uses less digits than its factorization.

6402564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 6402564480 is about 80016.0263947167. The cubic root of 6402564480 is about 1856.8834849494.

The spelling of 6402564480 in words is "six billion, four hundred two million, five hundred sixty-four thousand, four hundred eighty".