7541016480 has 144 divisors (see below), whose sum is σ = 25756219944. Its totient is φ = 2009180160.

The previous prime is 7541016449. The next prime is 7541016493. The reversal of 7541016480 is 846101457.

It is a happy number.

7541016480 is a `hidden beast` number, since 7 + 5 + 4 + 1 + 0 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7155129744 + 385886736 = 84588^2 + 19644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3220110 + ... + 3222450.

Almost surely, 2^7541016480 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 7541016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878109972).

7541016480 is an abundant number, since it is smaller than the sum of its proper divisors (18215203464).

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

7541016480 is a wasteful number, since it uses less digits than its factorization.

7541016480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7541016480 is about 86839.0262497225. The cubic root of 7541016480 is about 1960.9956485210.

The spelling of 7541016480 in words is "seven billion, five hundred forty-one million, sixteen thousand, four hundred eighty".