6620745600 has 960 divisors, whose sum is σ = 28924711200. Its totient is φ = 1459814400.

The previous prime is 6620745563. The next prime is 6620745601. The reversal of 6620745600 is 65470266.

6620745600 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 7 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6620745601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74390356 + ... + 74390444.

Almost surely, 2^6620745600 is an apocalyptic number.

6620745600 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 6620745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462355600).

6620745600 is an abundant number, since it is smaller than the sum of its proper divisors (22303965600).

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

6620745600 is a wasteful number, since it uses less digits than its factorization.

6620745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6620745600 is about 81367.9642119674. The cubic root of 6620745600 is about 1877.7407597738.

The spelling of 6620745600 in words is "six billion, six hundred twenty million, seven hundred forty-five thousand, six hundred".