6872046720 has 1024 divisors, whose sum is σ = 29780213760. Its totient is φ = 1305722880.

The previous prime is 6872046691. The next prime is 6872046721. The reversal of 6872046720 is 276402786.

It is a super-2 number, since 2×6872046720² = 94450052243725516800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6872046721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146213737 + ... + 146213783.

It is an arithmetic number, because the mean of its divisors is an integer number (29082240).

Almost surely, 2^6872046720 is an apocalyptic number.

6872046720 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 6872046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14890106880).

6872046720 is an abundant number, since it is smaller than the sum of its proper divisors (22908167040).

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

6872046720 is a wasteful number, since it uses less digits than its factorization.

6872046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 6872046720 is about 82897.8088974612. The cubic root of 6872046720 is about 1901.2039202713.

It can be divided in two parts, 68720 and 46720, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 6872046720 in words is "six billion, eight hundred seventy-two million, forty-six thousand, seven hundred twenty".