6473624976 has 640 divisors, whose sum is σ = 24598425600. Its totient is φ = 1602353664.

The previous prime is 6473624959. The next prime is 6473624981. The reversal of 6473624976 is 6794263746.

6473624976 is a `hidden beast` number, since 6 + 4 + 7 + 3 + 624 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60501115 + ... + 60501221.

It is an arithmetic number, because the mean of its divisors is an integer number (38435040).

Almost surely, 2^6473624976 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 6473624976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12299212800).

6473624976 is an abundant number, since it is smaller than the sum of its proper divisors (18124800624).

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

6473624976 is a wasteful number, since it uses less digits than its factorization.

6473624976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 6473624976 is about 80458.8402600982. The cubic root of 6473624976 is about 1863.7279239032.

The spelling of 6473624976 in words is "six billion, four hundred seventy-three million, six hundred twenty-four thousand, nine hundred seventy-six".