7428294720 has 1344 divisors, whose sum is σ = 35148072960. Its totient is φ = 1393459200.

The previous prime is 7428294719. The next prime is 7428294733. The reversal of 7428294720 is 274928247.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172751019 + ... + 172751061.

It is an arithmetic number, because the mean of its divisors is an integer number (26151840).

Almost surely, 2^7428294720 is an apocalyptic number.

7428294720 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 7428294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574036480).

7428294720 is an abundant number, since it is smaller than the sum of its proper divisors (27719778240).

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

7428294720 is a wasteful number, since it uses less digits than its factorization.

7428294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7428294720 is about 86187.5554822156. Note that the first 3 decimals coincide. The cubic root of 7428294720 is about 1951.1756854957.

The spelling of 7428294720 in words is "seven billion, four hundred twenty-eight million, two hundred ninety-four thousand, seven hundred twenty".