7274887200 has 864 divisors, whose sum is σ = 31587978240. Its totient is φ = 1538611200.

The previous prime is 7274887199. The next prime is 7274887223. The reversal of 7274887200 is 27884727.

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 143 ways as a sum of consecutive naturals, for example, 67989547 + ... + 67989653.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160).

Almost surely, 2^7274887200 is an apocalyptic number.

7274887200 is a gapful number since it is divisible by the number (70) 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 7274887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793989120).

7274887200 is an abundant number, since it is smaller than the sum of its proper divisors (24313091040).

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

7274887200 is a wasteful number, since it uses less digits than its factorization.

7274887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 7274887200 is about 85292.9492982861. The cubic root of 7274887200 is about 1937.6503952627.

The spelling of 7274887200 in words is "seven billion, two hundred seventy-four million, eight hundred eighty-seven thousand, two hundred".