7441536960 has 896 divisors, whose sum is σ = 32567270400. Its totient is φ = 1572618240.

The previous prime is 7441536919. The next prime is 7441536961. The reversal of 7441536960 is 696351447.

7441536960 is a `hidden beast` number, since 74 + 41 + 536 + 9 + 6 + 0 = 666.

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 (7441536961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23474722 + ... + 23475038.

It is an arithmetic number, because the mean of its divisors is an integer number (36347400).

Almost surely, 2^7441536960 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 7441536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283635200).

7441536960 is an abundant number, since it is smaller than the sum of its proper divisors (25125733440).

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

7441536960 is a wasteful number, since it uses less digits than its factorization.

7441536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7441536960 is about 86264.3435029793. The cubic root of 7441536960 is about 1952.3344349942.

The spelling of 7441536960 in words is "seven billion, four hundred forty-one million, five hundred thirty-six thousand, nine hundred sixty".