7420477440 has 256 divisors, whose sum is σ = 24561469440. Its totient is φ = 1911029760.

The previous prime is 7420477429. The next prime is 7420477459. The reversal of 7420477440 is 447740247.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15236877 + ... + 15237363.

It is an arithmetic number, because the mean of its divisors is an integer number (95943240).

Almost surely, 2^7420477440 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 7420477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280734720).

7420477440 is an abundant number, since it is smaller than the sum of its proper divisors (17140992000).

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

7420477440 is an equidigital number, since it uses as much as digits as its factorization.

7420477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 39.

The square root of 7420477440 is about 86142.1931459839. The cubic root of 7420477440 is about 1950.4909953613.

The spelling of 7420477440 in words is "seven billion, four hundred twenty million, four hundred seventy-seven thousand, four hundred forty".