7274721888 has 576 divisors, whose sum is σ = 26696355840. Its totient is φ = 1916006400.

The previous prime is 7274721887. The next prime is 7274721893. The reversal of 7274721888 is 8881274727.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7274721887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30185448 + ... + 30185688.

It is an arithmetic number, because the mean of its divisors is an integer number (46347840).

Almost surely, 2^7274721888 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 7274721888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348177920).

7274721888 is an abundant number, since it is smaller than the sum of its proper divisors (19421633952).

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

7274721888 is a wasteful number, since it uses less digits than its factorization.

7274721888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its digits is 2809856, while the sum is 54.

The square root of 7274721888 is about 85291.9802091615. The cubic root of 7274721888 is about 1937.6357183209.

The spelling of 7274721888 in words is "seven billion, two hundred seventy-four million, seven hundred twenty-one thousand, eight hundred eighty-eight".