6616473600 has 504 divisors, whose sum is σ = 24316959240. Its totient is φ = 1585971200.

The previous prime is 6616473581. The next prime is 6616473601. The reversal of 6616473600 is 63746166.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6616473601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74342356 + ... + 74342444.

It is an arithmetic number, because the mean of its divisors is an integer number (48247935).

Almost surely, 2^6616473600 is an apocalyptic number.

6616473600 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 6616473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158479620).

6616473600 is an abundant number, since it is smaller than the sum of its proper divisors (17700485640).

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

6616473600 is a wasteful number, since it uses less digits than its factorization.

6616473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 6616473600 is about 81341.7088583711. The cubic root of 6616473600 is about 1877.3368055491.

The spelling of 6616473600 in words is "six billion, six hundred sixteen million, four hundred seventy-three thousand, six hundred".