6670957475700 has 756 divisors, whose sum is σ = 25340607784800. Its totient is φ = 1519172081280.

The previous prime is 6670957475639. The next prime is 6670957475701. The reversal of 6670957475700 is 75747590766.

6670957475700 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 9 + 57 + 4 + 7 + 570 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6670957475701) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1010901001 + ... + 1010907599.

Almost surely, 2^{6670957475700} is an apocalyptic number.

6670957475700 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 6670957475700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12670303892400).

6670957475700 is an abundant number, since it is smaller than the sum of its proper divisors (18669650309100).

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

6670957475700 is a wasteful number, since it uses less digits than its factorization.

6670957475700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 6670957475700 in words is "six trillion, six hundred seventy billion, nine hundred fifty-seven million, four hundred seventy-five thousand, seven hundred".