6801142530 has 384 divisors, whose sum is σ = 21727899648. Its totient is φ = 1326150144.

The previous prime is 6801142507. The next prime is 6801142547. The reversal of 6801142530 is 352411086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66030459 + ... + 66030561.

It is an arithmetic number, because the mean of its divisors is an integer number (56583072).

Almost surely, 2^6801142530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801142530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863949824).

6801142530 is an abundant number, since it is smaller than the sum of its proper divisors (14926757118).

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

6801142530 is a wasteful number, since it uses less digits than its factorization.

6801142530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6801142530 is about 82469.0398270769. The cubic root of 6801142530 is about 1894.6425745453.

It can be divided in two parts, 6801 and 142530, that added together give a triangular number (149331 = T₅₄₆).

The spelling of 6801142530 in words is "six billion, eight hundred one million, one hundred forty-two thousand, five hundred thirty".