6872040000 has 840 divisors, whose sum is σ = 29460919488. Its totient is φ = 1555200000.

The previous prime is 6872039959. The next prime is 6872040001. The reversal of 6872040000 is 402786.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6872040001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68039950 + ... + 68040050.

Almost surely, 2^6872040000 is an apocalyptic number.

6872040000 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 6872040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14730459744).

6872040000 is an abundant number, since it is smaller than the sum of its proper divisors (22588879488).

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

6872040000 is an equidigital number, since it uses as much as digits as its factorization.

6872040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6872040000 is about 82897.7683656201. The cubic root of 6872040000 is about 1901.2033005581.

Adding to 6872040000 its reverse (402786), we get a palindrome (6872442786).

The spelling of 6872040000 in words is "six billion, eight hundred seventy-two million, forty thousand".