6455830272 has 72 divisors (see below), whose sum is σ = 17263787520. Its totient is φ = 2141690880.

The previous prime is 6455830253. The next prime is 6455830349. The reversal of 6455830272 is 2720385546.

It is a super-3 number, since 3×6455830272³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142129 + ... + 181967.

Almost surely, 2^6455830272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6455830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631893760).

6455830272 is an abundant number, since it is smaller than the sum of its proper divisors (10807957248).

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

6455830272 is a wasteful number, since it uses less digits than its factorization.

6455830272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40069 (or 40055 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 6455830272 is about 80348.1815102246. The cubic root of 6455830272 is about 1862.0186847018.

It can be divided in two parts, 64558 and 30272, that added together give a triangular number (94830 = T₄₃₅).

The spelling of 6455830272 in words is "six billion, four hundred fifty-five million, eight hundred thirty thousand, two hundred seventy-two".