6617494800 has 960 divisors, whose sum is σ = 30112358400. Its totient is φ = 1343692800.

The previous prime is 6617494789. The next prime is 6617494801. The reversal of 6617494800 is 84947166.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (6617494801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24418665 + ... + 24418935.

It is an arithmetic number, because the mean of its divisors is an integer number (31367040).

Almost surely, 2^6617494800 is an apocalyptic number.

6617494800 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 6617494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15056179200).

6617494800 is an abundant number, since it is smaller than the sum of its proper divisors (23494863600).

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

6617494800 is a wasteful number, since it uses less digits than its factorization.

6617494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6617494800 is about 81347.9858386180. The cubic root of 6617494800 is about 1877.4333845749.

The spelling of 6617494800 in words is "six billion, six hundred seventeen million, four hundred ninety-four thousand, eight hundred".