6617653350400 has 117 divisors (see below), whose sum is σ = 16411818442681. Its totient is φ = 2646732062720.

The previous prime is 6617653350379. The next prime is 6617653350481. The reversal of 6617653350400 is 40533567166.

The square root of 6617653350400 is 2572480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2382355206144 + 4235298144256 = 1543488^2 + 2057984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 823189581 + ... + 823197619.

Almost surely, 2^{6617653350400} is an apocalyptic number.

6617653350400 is the 2572480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6617653350400

6617653350400 is an abundant number, since it is smaller than the sum of its proper divisors (9794165092281).

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

6617653350400 is an frugal number, since it uses more digits than its factorization.

6617653350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 6617653350400 in words is "six trillion, six hundred seventeen billion, six hundred fifty-three million, three hundred fifty thousand, four hundred".