7541434944 has 252 divisors, whose sum is σ = 22664987436. Its totient is φ = 2396749824.

The previous prime is 7541434907. The next prime is 7541435039. The reversal of 7541434944 is 4494341457.

It can be written as a sum of positive squares in 2 ways, for example, as 3834086400 + 3707348544 = 61920^2 + 60888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7541434944.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77746704 + ... + 77746800.

Almost surely, 2^7541434944 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 7541434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332493718).

7541434944 is an abundant number, since it is smaller than the sum of its proper divisors (15123552492).

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

7541434944 is a wasteful number, since it uses less digits than its factorization.

7541434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 218 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 7541434944 is about 86841.4356399064. The cubic root of 7541434944 is about 1961.0319208594.

The spelling of 7541434944 in words is "seven billion, five hundred forty-one million, four hundred thirty-four thousand, nine hundred forty-four".