7279648200 has 768 divisors, whose sum is σ = 29649888000. Its totient is φ = 1642291200.

The previous prime is 7279648199. The next prime is 7279648279. The reversal of 7279648200 is 28469727.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81793756 + ... + 81793844.

It is an arithmetic number, because the mean of its divisors is an integer number (38606625).

Almost surely, 2^7279648200 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 7279648200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14824944000).

7279648200 is an abundant number, since it is smaller than the sum of its proper divisors (22370239800).

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

7279648200 is a wasteful number, since it uses less digits than its factorization.

7279648200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7279648200 is about 85320.8544261015. The cubic root of 7279648200 is about 1938.0729970875.

It can be divided in two parts, 727964 and 8200, that added together give a square (736164 = 858²).

The spelling of 7279648200 in words is "seven billion, two hundred seventy-nine million, six hundred forty-eight thousand, two hundred".