6873510140644 has 81 divisors (see below), whose sum is σ = 14057585584329. Its totient is φ = 2932151779200.

The previous prime is 6873510140641. The next prime is 6873510140659. The reversal of 6873510140644 is 4460410153786.

The square root of 6873510140644 is 2621738.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6805117430244 + 68392710400 = 2608662^2 + 261520^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (6873510140641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14718436899 + ... + 14718437365.

Almost surely, 2^{6873510140644} is an apocalyptic number.

6873510140644 is the 2621738-th square number.

It is an amenable number.

6873510140644 is an abundant number, since it is smaller than the sum of its proper divisors (7184075443685).

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

6873510140644 is an frugal number, since it uses more digits than its factorization.

6873510140644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 6873510140644 by its sum of digits (49), we get a square (336801996891556 = 18352166²).

6873510140644 divided by its sum of digits (49) gives a square (140275717156 = 374534²).

The spelling of 6873510140644 in words is "six trillion, eight hundred seventy-three billion, five hundred ten million, one hundred forty thousand, six hundred forty-four".