6840699013729 has 15 divisors (see below), whose sum is σ = 7980490177107. Its totient is φ = 5863346447616.

The previous prime is 6840699013703. The next prime is 6840699013867. The reversal of 6840699013729 is 9273109960486.

The square root of 6840699013729 is 2615473.

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., 6832499349025 + 8199664704 = 2613905^2 + 90552^2 .

It is not a de Polignac number, because 6840699013729 - 2¹⁹ = 6840698489441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6840699010729) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 128131489 + ... + 128184865.

Almost surely, 2^{6840699013729} is an apocalyptic number.

6840699013729 is the 2615473-rd square number.

6840699013729 is the 1307737-th centered octagonal number.

It is an amenable number.

6840699013729 is a deficient number, since it is larger than the sum of its proper divisors (1139791163378).

6840699013729 is an frugal number, since it uses more digits than its factorization.

6840699013729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106782 (or 53384 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

Multiplying 6840699013729 by its sum of digits (64), we get a square (437804736878656 = 20923784²).

The spelling of 6840699013729 in words is "six trillion, eight hundred forty billion, six hundred ninety-nine million, thirteen thousand, seven hundred twenty-nine".