6703216128 has 320 divisors, whose sum is σ = 23122091520. Its totient is φ = 1877630976.

The previous prime is 6703216103. The next prime is 6703216141. The reversal of 6703216128 is 8216123076.

6703216128 is a `hidden beast` number, since 6 + 7 + 0 + 32 + 1 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6703216092 and 6703216101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128051 + ... + 5129357.

It is an arithmetic number, because the mean of its divisors is an integer number (72256536).

Almost surely, 2^6703216128 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 6703216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561045760).

6703216128 is an abundant number, since it is smaller than the sum of its proper divisors (16418875392).

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

6703216128 is a wasteful number, since it uses less digits than its factorization.

6703216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6703216128 is about 81873.1709902579. The cubic root of 6703216128 is about 1885.5052273550.

The spelling of 6703216128 in words is "six billion, seven hundred three million, two hundred sixteen thousand, one hundred twenty-eight".