6872237640 has 320 divisors, whose sum is σ = 23908167360. Its totient is φ = 1769402880.

The previous prime is 6872237639. The next prime is 6872237663. The reversal of 6872237640 is 467322786.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14907010 + ... + 14907470.

It is an arithmetic number, because the mean of its divisors is an integer number (74713023).

Almost surely, 2^6872237640 is an apocalyptic number.

6872237640 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 6872237640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11954083680).

6872237640 is an abundant number, since it is smaller than the sum of its proper divisors (17035929720).

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

6872237640 is a wasteful number, since it uses less digits than its factorization.

6872237640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6872237640 is about 82898.9604277400. The cubic root of 6872237640 is about 1901.2215265976.

The spelling of 6872237640 in words is "six billion, eight hundred seventy-two million, two hundred thirty-seven thousand, six hundred forty".