6445693800 has 576 divisors, whose sum is σ = 27502704000. Its totient is φ = 1358622720.

The previous prime is 6445693789. The next prime is 6445693801. The reversal of 6445693800 is 83965446.

6445693800 is a `hidden beast` number, since 6 + 4 + 4 + 569 + 3 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6445693801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6387696 + ... + 6388704.

It is an arithmetic number, because the mean of its divisors is an integer number (47747750).

Almost surely, 2^6445693800 is an apocalyptic number.

6445693800 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 6445693800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751352000).

6445693800 is an abundant number, since it is smaller than the sum of its proper divisors (21057010200).

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

6445693800 is a wasteful number, since it uses less digits than its factorization.

6445693800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6445693800 is about 80285.0783147155. The cubic root of 6445693800 is about 1861.0436390743.

The spelling of 6445693800 in words is "six billion, four hundred forty-five million, six hundred ninety-three thousand, eight hundred".