7267728600 has 288 divisors, whose sum is σ = 27785721600. Its totient is φ = 1685164800.

The previous prime is 7267728583. The next prime is 7267728631. The reversal of 7267728600 is 68277627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447421 + ... + 463379.

It is an arithmetic number, because the mean of its divisors is an integer number (96478200).

Almost surely, 2^7267728600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7267728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892860800).

7267728600 is an abundant number, since it is smaller than the sum of its proper divisors (20517993000).

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

7267728600 is a wasteful number, since it uses less digits than its factorization.

7267728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16015 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7267728600 is about 85250.9741879822. The cubic root of 7267728600 is about 1937.0146274980.

The spelling of 7267728600 in words is "seven billion, two hundred sixty-seven million, seven hundred twenty-eight thousand, six hundred".