7471541664 has 72 divisors (see below), whose sum is σ = 21279978720. Its totient is φ = 2486671488.

The previous prime is 7471541659. The next prime is 7471541681. The reversal of 7471541664 is 4661451747.

7471541664 is a `hidden beast` number, since 7 + 47 + 1 + 541 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170109 + ... + 209475.

It is an arithmetic number, because the mean of its divisors is an integer number (295555260).

Almost surely, 2^7471541664 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 7471541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639989360).

7471541664 is an abundant number, since it is smaller than the sum of its proper divisors (13808437056).

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

7471541664 is a wasteful number, since it uses less digits than its factorization.

7471541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40042 (or 40031 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 7471541664 is about 86438.0799416553. The cubic root of 7471541664 is about 1954.9548910212.

The spelling of 7471541664 in words is "seven billion, four hundred seventy-one million, five hundred forty-one thousand, six hundred sixty-four".