6623720902656 has 624 divisors, whose sum is σ = 23001288902592. Its totient is φ = 1809639014400.

The previous prime is 6623720902577. The next prime is 6623720902657. The reversal of 6623720902656 is 6562090273266.

It is a happy number.

6623720902656 is a `hidden beast` number, since 6 + 6 + 2 + 372 + 0 + 9 + 0 + 265 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (6623720902657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226662126 + ... + 226691346.

It is an arithmetic number, because the mean of its divisors is an integer number (36861039908).

Almost surely, 2^{6623720902656} is an apocalyptic number.

6623720902656 is a gapful number since it is divisible by the number (66) 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 6623720902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500644451296).

6623720902656 is an abundant number, since it is smaller than the sum of its proper divisors (16377567999936).

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

6623720902656 is a wasteful number, since it uses less digits than its factorization.

6623720902656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29318 (or 29293 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6623720902656 in words is "six trillion, six hundred twenty-three billion, seven hundred twenty million, nine hundred two thousand, six hundred fifty-six".