6616780800 has 624 divisors, whose sum is σ = 26619046272. Its totient is φ = 1415577600.

The previous prime is 6616780763. The next prime is 6616780823. The reversal of 6616780800 is 80876166.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36556710 + ... + 36556890.

It is an arithmetic number, because the mean of its divisors is an integer number (42658728).

Almost surely, 2^6616780800 is an apocalyptic number.

6616780800 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 6616780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309523136).

6616780800 is an abundant number, since it is smaller than the sum of its proper divisors (20002265472).

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

6616780800 is a wasteful number, since it uses less digits than its factorization.

6616780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 6616780800 is about 81343.5971665871. The cubic root of 6616780800 is about 1877.3658597441.

The spelling of 6616780800 in words is "six billion, six hundred sixteen million, seven hundred eighty thousand, eight hundred".