6706790496 has 768 divisors, whose sum is σ = 25482885120. Its totient is φ = 1672151040.

The previous prime is 6706790491. The next prime is 6706790509. The reversal of 6706790496 is 6940976076.

6706790496 is a `hidden beast` number, since 6 + 7 + 0 + 67 + 90 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6706790491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155971851 + ... + 155971893.

It is an arithmetic number, because the mean of its divisors is an integer number (33180840).

Almost surely, 2^6706790496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6706790496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741442560).

6706790496 is an abundant number, since it is smaller than the sum of its proper divisors (18776094624).

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

6706790496 is a wasteful number, since it uses less digits than its factorization.

6706790496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 6706790496 is about 81894.9967702545. The cubic root of 6706790496 is about 1885.8403049194.

The spelling of 6706790496 in words is "six billion, seven hundred six million, seven hundred ninety thousand, four hundred ninety-six".