6875051040 has 768 divisors, whose sum is σ = 29262643200. Its totient is φ = 1484697600.

The previous prime is 6875051033. The next prime is 6875051041. The reversal of 6875051040 is 401505786.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6875050986 and 6875051004.

It is not an unprimeable number, because it can be changed into a prime (6875051041) 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, 19150381 + ... + 19150739.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 2^6875051040 is an apocalyptic number.

6875051040 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 6875051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631321600).

6875051040 is an abundant number, since it is smaller than the sum of its proper divisors (22387592160).

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

6875051040 is a wasteful number, since it uses less digits than its factorization.

6875051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 6875051040 is about 82915.9275410943. The cubic root of 6875051040 is about 1901.4809358889.

The spelling of 6875051040 in words is "six billion, eight hundred seventy-five million, fifty-one thousand, forty".