6472838640 has 80 divisors (see below), whose sum is σ = 20098990368. Its totient is φ = 1723235328.

The previous prime is 6472838609. The next prime is 6472838663. The reversal of 6472838640 is 468382746.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6472838640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125122 + ... + 169118.

Almost surely, 2^6472838640 is an apocalyptic number.

6472838640 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 6472838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049495184).

6472838640 is an abundant number, since it is smaller than the sum of its proper divisors (13626151728).

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

6472838640 is a wasteful number, since it uses less digits than its factorization.

6472838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44626 (or 44620 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 6472838640 is about 80453.9535386546. The cubic root of 6472838640 is about 1863.6524599652.

The spelling of 6472838640 in words is "six billion, four hundred seventy-two million, eight hundred thirty-eight thousand, six hundred forty".