6472966500 has 768 divisors, whose sum is σ = 28178841600. Its totient is φ = 1238976000.

The previous prime is 6472966499. The next prime is 6472966519. The reversal of 6472966500 is 56692746.

6472966500 is a `hidden beast` number, since 64 + 7 + 29 + 66 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13513261 + ... + 13513739.

It is an arithmetic number, because the mean of its divisors is an integer number (36691200).

Almost surely, 2^6472966500 is an apocalyptic number.

6472966500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6472966500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089420800).

6472966500 is an abundant number, since it is smaller than the sum of its proper divisors (21705875100).

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

6472966500 is a wasteful number, since it uses less digits than its factorization.

6472966500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6472966500 is about 80454.7481507462. The cubic root of 6472966500 is about 1863.6647309871.

It can be divided in two parts, 647296 and 6500, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 6472966500 in words is "six billion, four hundred seventy-two million, nine hundred sixty-six thousand, five hundred".