6906274816 has 165 divisors, whose sum is σ = 16415431361. Its totient is φ = 2903986176.

The previous prime is 6906274811. The next prime is 6906274847. The reversal of 6906274816 is 6184726096.

The square root of 6906274816 is 83104.

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., 4978713600 + 1927561216 = 70560^2 + 43904^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 6906274816.

It is not an unprimeable number, because it can be changed into a prime (6906274811) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 130307046 + ... + 130307098.

Almost surely, 2^6906274816 is an apocalyptic number.

6906274816 is the 83104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6906274816

6906274816 is an abundant number, since it is smaller than the sum of its proper divisors (9509156545).

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

6906274816 is an frugal number, since it uses more digits than its factorization.

6906274816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The cubic root of 6906274816 is about 1904.3551817200.

Multiplying 6906274816 by its sum of digits (49), we get a square (338407465984 = 581728²).

6906274816 divided by its sum of digits (49) gives a square (140944384 = 11872²).

The spelling of 6906274816 in words is "six billion, nine hundred six million, two hundred seventy-four thousand, eight hundred sixteen".