6473813760 has 288 divisors, whose sum is σ = 24184608000. Its totient is φ = 1635323904.

The previous prime is 6473813747. The next prime is 6473813771. The reversal of 6473813760 is 673183746.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651711 + ... + 661569.

Almost surely, 2^6473813760 is an apocalyptic number.

6473813760 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 6473813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092304000).

6473813760 is an abundant number, since it is smaller than the sum of its proper divisors (17710794240).

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

6473813760 is a wasteful number, since it uses less digits than its factorization.

6473813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6473813760 is about 80460.0134228177. The cubic root of 6473813760 is about 1863.7460404193.

The spelling of 6473813760 in words is "six billion, four hundred seventy-three million, eight hundred thirteen thousand, seven hundred sixty".