6872615424 has 140 divisors (see below), whose sum is σ = 20589411546. Its totient is φ = 2290747392.

The previous prime is 6872615423. The next prime is 6872615443. The reversal of 6872615424 is 4245162786.

6872615424 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 615 + 4 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6387206400 + 485409024 = 79920^2 + 22032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6872615424.

It is not an unprimeable number, because it can be changed into a prime (6872615423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 364042 + ... + 382454.

Almost surely, 2^6872615424 is an apocalyptic number.

6872615424 is a gapful number since it is divisible by the number (64) 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 6872615424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10294705773).

6872615424 is an abundant number, since it is smaller than the sum of its proper divisors (13716796122).

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

6872615424 is an frugal number, since it uses more digits than its factorization.

6872615424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18449 (or 18418 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 6872615424 is about 82901.2389774725. The cubic root of 6872615424 is about 1901.2563642517.

The spelling of 6872615424 in words is "six billion, eight hundred seventy-two million, six hundred fifteen thousand, four hundred twenty-four".