6652192800 has 216 divisors, whose sum is σ = 23801320368. Its totient is φ = 1612582400.

The previous prime is 6652192787. The next prime is 6652192823. The reversal of 6652192800 is 82912566.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278947 + ... + 301853.

It is an arithmetic number, because the mean of its divisors is an integer number (110191298).

Almost surely, 2^6652192800 is an apocalyptic number.

6652192800 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 6652192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900660184).

6652192800 is an abundant number, since it is smaller than the sum of its proper divisors (17149127568).

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

6652192800 is a wasteful number, since it uses less digits than its factorization.

6652192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22952 (or 22928 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 6652192800 is about 81560.9759627728. The cubic root of 6652192800 is about 1880.7090278689.

It can be divided in two parts, 665 and 2192800, that added together give a triangular number (2193465 = T₂₀₉₄).

The spelling of 6652192800 in words is "six billion, six hundred fifty-two million, one hundred ninety-two thousand, eight hundred".