6782140140 has 96 divisors (see below), whose sum is σ = 20148549120. Its totient is φ = 1698671616.

The previous prime is 6782140133. The next prime is 6782140181. The reversal of 6782140140 is 410412876.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506451 + ... + 519669.

It is an arithmetic number, because the mean of its divisors is an integer number (209880720).

Almost surely, 2^6782140140 is an apocalyptic number.

6782140140 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 6782140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10074274560).

6782140140 is an abundant number, since it is smaller than the sum of its proper divisors (13366408980).

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

6782140140 is a wasteful number, since it uses less digits than its factorization.

6782140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13751 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6782140140 is about 82353.7500056919. The cubic root of 6782140140 is about 1892.8763850342.

The spelling of 6782140140 in words is "six billion, seven hundred eighty-two million, one hundred forty thousand, one hundred forty".