7273605456 has 240 divisors, whose sum is σ = 22393098000. Its totient is φ = 2190532608.

The previous prime is 7273605407. The next prime is 7273605473. The reversal of 7273605456 is 6545063727.

7273605456 is a `hidden beast` number, since 72 + 7 + 36 + 0 + 545 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 650250000 + 6623355456 = 25500^2 + 81384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24824446 + ... + 24824738.

It is an arithmetic number, because the mean of its divisors is an integer number (93304575).

Almost surely, 2^7273605456 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 7273605456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196549000).

7273605456 is an abundant number, since it is smaller than the sum of its proper divisors (15119492544).

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

7273605456 is a wasteful number, since it uses less digits than its factorization.

7273605456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

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

The square root of 7273605456 is about 85285.4351926517. The cubic root of 7273605456 is about 1937.5365920026.

The spelling of 7273605456 in words is "seven billion, two hundred seventy-three million, six hundred five thousand, four hundred fifty-six".