6617623728 has 120 divisors (see below), whose sum is σ = 18418821120. Its totient is φ = 2046571520.

The previous prime is 6617623721. The next prime is 6617623739. The reversal of 6617623728 is 8273267166.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6617623721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981553 + ... + 988271.

It is an arithmetic number, because the mean of its divisors is an integer number (153490176).

Almost surely, 2^6617623728 is an apocalyptic number.

6617623728 is a gapful number since it is divisible by the number (68) 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 6617623728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9209410560).

6617623728 is an abundant number, since it is smaller than the sum of its proper divisors (11801197392).

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

6617623728 is a wasteful number, since it uses less digits than its factorization.

6617623728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6812 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 6617623728 is about 81348.7782821598. The cubic root of 6617623728 is about 1877.4455771123.

The spelling of 6617623728 in words is "six billion, six hundred seventeen million, six hundred twenty-three thousand, seven hundred twenty-eight".