6646406051700 has 360 divisors, whose sum is σ = 21677441429952. Its totient is φ = 1761514283520.

The previous prime is 6646406051689. The next prime is 6646406051731. The reversal of 6646406051700 is 71506046466.

6646406051700 is a `hidden beast` number, since 66 + 464 + 0 + 60 + 5 + 1 + 70 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 973543687 + ... + 973550513.

Almost surely, 2^{6646406051700} is an apocalyptic number.

6646406051700 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 6646406051700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838720714976).

6646406051700 is an abundant number, since it is smaller than the sum of its proper divisors (15031035378252).

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

6646406051700 is a wasteful number, since it uses less digits than its factorization.

6646406051700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6646406051700 in words is "six trillion, six hundred forty-six billion, four hundred six million, fifty-one thousand, seven hundred".