7314735456 has 288 divisors, whose sum is σ = 25068895488. Its totient is φ = 2054730240.

The previous prime is 7314735427. The next prime is 7314735457. The reversal of 7314735456 is 6545374137.

7314735456 is a `hidden beast` number, since 7 + 31 + 4 + 73 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7314735457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3319251 + ... + 3321453.

It is an arithmetic number, because the mean of its divisors is an integer number (87044776).

Almost surely, 2^7314735456 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 7314735456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534447744).

7314735456 is an abundant number, since it is smaller than the sum of its proper divisors (17754160032).

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

7314735456 is a wasteful number, since it uses less digits than its factorization.

7314735456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2276 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 7314735456 is about 85526.2267143828. The cubic root of 7314735456 is about 1941.1817874740.

The spelling of 7314735456 in words is "seven billion, three hundred fourteen million, seven hundred thirty-five thousand, four hundred fifty-six".