6657241070970 has 896 divisors, whose sum is σ = 21876858432000. Its totient is φ = 1425675976704.

The previous prime is 6657241070947. The next prime is 6657241070983. The reversal of 6657241070970 is 790701427566.

6657241070970 is a `hidden beast` number, since 6 + 6 + 5 + 72 + 410 + 70 + 97 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 14826817306 + ... + 14826817754.

Almost surely, 2^{6657241070970} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6657241070970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938429216000).

6657241070970 is an abundant number, since it is smaller than the sum of its proper divisors (15219617361030).

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

6657241070970 is a wasteful number, since it uses less digits than its factorization.

6657241070970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 6657241070970 in words is "six trillion, six hundred fifty-seven billion, two hundred forty-one million, seventy thousand, nine hundred seventy".