6872349960 has 384 divisors, whose sum is σ = 28219104000. Its totient is φ = 1478227968.

The previous prime is 6872349959. The next prime is 6872349961. The reversal of 6872349960 is 699432786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6872349959) and next prime (6872349961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6872349897 and 6872349906.

It is not an unprimeable number, because it can be changed into a prime (6872349961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895821 + ... + 903459.

It is an arithmetic number, because the mean of its divisors is an integer number (73487250).

Almost surely, 2^6872349960 is an apocalyptic number.

6872349960 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 6872349960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14109552000).

6872349960 is an abundant number, since it is smaller than the sum of its proper divisors (21346754040).

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

6872349960 is a wasteful number, since it uses less digits than its factorization.

6872349960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6872349960 is about 82899.6378761693. The cubic root of 6872349960 is about 1901.2318844097.

The spelling of 6872349960 in words is "six billion, eight hundred seventy-two million, three hundred forty-nine thousand, nine hundred sixty".