7363045440 has 336 divisors, whose sum is σ = 27099249840. Its totient is φ = 1828454400.

The previous prime is 7363045411. The next prime is 7363045441. The reversal of 7363045440 is 445403637.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 343286784 + 7019758656 = 18528^2 + 83784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7363045395 and 7363045404.

It is not an unprimeable number, because it can be changed into a prime (7363045441) 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, 4944216 + ... + 4945704.

Almost surely, 2^7363045440 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 7363045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549624920).

7363045440 is an abundant number, since it is smaller than the sum of its proper divisors (19736204400).

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

7363045440 is a wasteful number, since it uses less digits than its factorization.

7363045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 7363045440 is about 85808.1898189211. The cubic root of 7363045440 is about 1945.4459090023.

The spelling of 7363045440 in words is "seven billion, three hundred sixty-three million, forty-five thousand, four hundred forty".