6705478080 has 672 divisors, whose sum is σ = 27834433536. Its totient is φ = 1504935936.

The previous prime is 6705478067. The next prime is 6705478099. The reversal of 6705478080 is 808745076.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52798977 + ... + 52799103.

It is an arithmetic number, because the mean of its divisors is an integer number (41420288).

Almost surely, 2^6705478080 is an apocalyptic number.

6705478080 is a gapful number since it is divisible by the number (60) 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 6705478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13917216768).

6705478080 is an abundant number, since it is smaller than the sum of its proper divisors (21128955456).

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

6705478080 is a wasteful number, since it uses less digits than its factorization.

6705478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 6705478080 is about 81886.9835810308. The cubic root of 6705478080 is about 1885.7172868901.

The spelling of 6705478080 in words is "six billion, seven hundred five million, four hundred seventy-eight thousand, eighty".