6651273600 has 288 divisors, whose sum is σ = 23900672640. Its totient is φ = 1761177600.

The previous prime is 6651273599. The next prime is 6651273617. The reversal of 6651273600 is 63721566.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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, 4520865 + ... + 4522335.

Almost surely, 2^6651273600 is an apocalyptic number.

6651273600 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 6651273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950336320).

6651273600 is an abundant number, since it is smaller than the sum of its proper divisors (17249399040).

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

6651273600 is a wasteful number, since it uses less digits than its factorization.

6651273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6651273600 is about 81555.3407202741. The cubic root of 6651273600 is about 1880.6223984209.

The spelling of 6651273600 in words is "six billion, six hundred fifty-one million, two hundred seventy-three thousand, six hundred".