6701506560 has 672 divisors, whose sum is σ = 27602078400. Its totient is φ = 1502871552.

The previous prime is 6701506547. The next prime is 6701506571. The reversal of 6701506560 is 656051076.

It is a happy number.

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 (36).

It is a congruent number.

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, 126443494 + ... + 126443546.

Almost surely, 2^6701506560 is an apocalyptic number.

6701506560 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 6701506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801039200).

6701506560 is an abundant number, since it is smaller than the sum of its proper divisors (20900571840).

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

6701506560 is an equidigital number, since it uses as much as digits as its factorization.

6701506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6701506560 is about 81862.7299813535. The cubic root of 6701506560 is about 1885.3449225398.

The spelling of 6701506560 in words is "six billion, seven hundred one million, five hundred six thousand, five hundred sixty".