6651136800 has 1440 divisors, whose sum is σ = 31941955584. Its totient is φ = 1306368000.

The previous prime is 6651136741. The next prime is 6651136823. The reversal of 6651136800 is 86311566.

It is a happy number.

6651136800 is a `hidden beast` number, since 66 + 511 + 3 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 154677579 + ... + 154677621.

Almost surely, 2^6651136800 is an apocalyptic number.

6651136800 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 6651136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970977792).

6651136800 is an abundant number, since it is smaller than the sum of its proper divisors (25290818784).

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

6651136800 is a wasteful number, since it uses less digits than its factorization.

6651136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6651136800 is about 81554.5020216542. The cubic root of 6651136800 is about 1880.6095051054.

The spelling of 6651136800 in words is "six billion, six hundred fifty-one million, one hundred thirty-six thousand, eight hundred".