6435972480 has 256 divisors, whose sum is σ = 23554460160. Its totient is φ = 1464238080.

The previous prime is 6435972463. The next prime is 6435972547. The reversal of 6435972480 is 842795346.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 3238047 + ... + 3240033.

It is an arithmetic number, because the mean of its divisors is an integer number (92009610).

Almost surely, 2^6435972480 is an apocalyptic number.

6435972480 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 6435972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777230080).

6435972480 is an abundant number, since it is smaller than the sum of its proper divisors (17118487680).

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

6435972480 is a wasteful number, since it uses less digits than its factorization.

6435972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6435972480 is about 80224.5129620617. The cubic root of 6435972480 is about 1860.1075669089.

The spelling of 6435972480 in words is "six billion, four hundred thirty-five million, nine hundred seventy-two thousand, four hundred eighty".