6472264140 has 144 divisors (see below), whose sum is σ = 20820421440. Its totient is φ = 1621831680.

The previous prime is 6472264133. The next prime is 6472264159. The reversal of 6472264140 is 414622746.

6472264140 is a `hidden beast` number, since 6 + 4 + 7 + 2 + 2 + 641 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6472264095 and 6472264104.

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, 2566080 + ... + 2568600.

It is an arithmetic number, because the mean of its divisors is an integer number (144586260).

Almost surely, 2^6472264140 is an apocalyptic number.

6472264140 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 6472264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10410210720).

6472264140 is an abundant number, since it is smaller than the sum of its proper divisors (14348157300).

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

6472264140 is a wasteful number, since it uses less digits than its factorization.

6472264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6472264140 is about 80450.3830941780. The cubic root of 6472264140 is about 1863.5973218681.

Adding to 6472264140 its reverse (414622746), we get a palindrome (6886886886).

The spelling of 6472264140 in words is "six billion, four hundred seventy-two million, two hundred sixty-four thousand, one hundred forty".