7290711456 has 48 divisors (see below), whose sum is σ = 21872136384. Its totient is φ = 2083060224.

The previous prime is 7290711413. The next prime is 7290711517. The reversal of 7290711456 is 6541170927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5423965 + ... + 5425308.

It is an arithmetic number, because the mean of its divisors is an integer number (455669508).

Almost surely, 2^7290711456 is an apocalyptic number.

It is an amenable number.

7290711456 is an abundant number, since it is smaller than the sum of its proper divisors (14581424928).

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

7290711456 is a wasteful number, since it uses less digits than its factorization.

7290711456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849293 (or 10849285 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 7290711456 is about 85385.6630588532. The cubic root of 7290711456 is about 1939.0542965689.

The spelling of 7290711456 in words is "seven billion, two hundred ninety million, seven hundred eleven thousand, four hundred fifty-six".