6435348480 has 672 divisors, whose sum is σ = 26092221120. Its totient is φ = 1492254720.

The previous prime is 6435348467. The next prime is 6435348527. The reversal of 6435348480 is 848435346.

6435348480 is a `hidden beast` number, since 6 + 43 + 53 + 484 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 279797749 + ... + 279797771.

It is an arithmetic number, because the mean of its divisors is an integer number (38827710).

Almost surely, 2^6435348480 is an apocalyptic number.

6435348480 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 6435348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13046110560).

6435348480 is an abundant number, since it is smaller than the sum of its proper divisors (19656872640).

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

6435348480 is a wasteful number, since it uses less digits than its factorization.

6435348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 6435348480 is about 80220.6237821671. The cubic root of 6435348480 is about 1860.0474493619.

The spelling of 6435348480 in words is "six billion, four hundred thirty-five million, three hundred forty-eight thousand, four hundred eighty".