6471606624 has 192 divisors, whose sum is σ = 20532621312. Its totient is φ = 1745510400.

The previous prime is 6471606607. The next prime is 6471606629. The reversal of 6471606624 is 4266061746.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6471606629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850324 + ... + 857900.

It is an arithmetic number, because the mean of its divisors is an integer number (106940736).

Almost surely, 2^6471606624 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 6471606624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266310656).

6471606624 is an abundant number, since it is smaller than the sum of its proper divisors (14061014688).

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

6471606624 is a wasteful number, since it uses less digits than its factorization.

6471606624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 6471606624 is about 80446.2965213440. The cubic root of 6471606624 is about 1863.5342122398.

The spelling of 6471606624 in words is "six billion, four hundred seventy-one million, six hundred six thousand, six hundred twenty-four".