7045392960 has 560 divisors, whose sum is σ = 27085259520. Its totient is φ = 1731870720.

The previous prime is 7045392953. The next prime is 7045392967. The reversal of 7045392960 is 692935407.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7045392953) and next prime (7045392967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7045392967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25997625 + ... + 25997895.

Almost surely, 2^7045392960 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 7045392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542629760).

7045392960 is an abundant number, since it is smaller than the sum of its proper divisors (20039866560).

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

7045392960 is a wasteful number, since it uses less digits than its factorization.

7045392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 7045392960 is about 83936.8391113223. The cubic root of 7045392960 is about 1917.0572106329.

The spelling of 7045392960 in words is "seven billion, forty-five million, three hundred ninety-two thousand, nine hundred sixty".