6705553536 has 384 divisors, whose sum is σ = 22168598400. Its totient is φ = 1926758400.

The previous prime is 6705553501. The next prime is 6705553541. The reversal of 6705553536 is 6353555076.

It is a happy number.

6705553536 is a `hidden beast` number, since 67 + 0 + 5 + 5 + 53 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6705553491 and 6705553500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26091520 + ... + 26091776.

It is an arithmetic number, because the mean of its divisors is an integer number (57730725).

Almost surely, 2^6705553536 is an apocalyptic number.

6705553536 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6705553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11084299200).

6705553536 is an abundant number, since it is smaller than the sum of its proper divisors (15463044864).

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

6705553536 is a wasteful number, since it uses less digits than its factorization.

6705553536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 45.

The square root of 6705553536 is about 81887.4443122998. Note that the first 3 decimals coincide. The cubic root of 6705553536 is about 1885.7243601193.

The spelling of 6705553536 in words is "six billion, seven hundred five million, five hundred fifty-three thousand, five hundred thirty-six".