6790735657216 has 243 divisors, whose sum is σ = 16107811879761. Its totient is φ = 2848899336192.

The previous prime is 6790735657201. The next prime is 6790735657219. The reversal of 6790735657216 is 6127565370976.

The square root of 6790735657216 is 2605904.

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., 4895421753600 + 1895313903616 = 2212560^2 + 1376704^2 .

It is a super-2 number, since 2×6790735657216² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (6790735657219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15468645925 + ... + 15468646363.

Almost surely, 2^{6790735657216} is an apocalyptic number.

6790735657216 is the 2605904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6790735657216

6790735657216 is an abundant number, since it is smaller than the sum of its proper divisors (9317076222545).

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

6790735657216 is an frugal number, since it uses more digits than its factorization.

6790735657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 64.

Multiplying 6790735657216 by its sum of digits (64), we get a square (434607082061824 = 20847232²).

6790735657216 divided by its sum of digits (64) gives a square (106105244644 = 325738²).

The spelling of 6790735657216 in words is "six trillion, seven hundred ninety billion, seven hundred thirty-five million, six hundred fifty-seven thousand, two hundred sixteen".