6481481440 has 192 divisors, whose sum is σ = 18184642560. Its totient is φ = 2135992320.

The previous prime is 6481481429. The next prime is 6481481471. The reversal of 6481481440 is 441841846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6481481393 and 6481481402.

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, 13998649 + ... + 13999111.

It is an arithmetic number, because the mean of its divisors is an integer number (94711680).

Almost surely, 2^6481481440 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 6481481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092321280).

6481481440 is an abundant number, since it is smaller than the sum of its proper divisors (11703161120).

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

6481481440 is a wasteful number, since it uses less digits than its factorization.

6481481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 6481481440 is about 80507.6483323168. The cubic root of 6481481440 is about 1864.4815661581.

The spelling of 6481481440 in words is "six billion, four hundred eighty-one million, four hundred eighty-one thousand, four hundred forty".