6481062685440 has 1152 divisors, whose sum is σ = 27255984537600. Its totient is φ = 1427061473280.

The previous prime is 6481062685439. The next prime is 6481062685451. The reversal of 6481062685440 is 445862601846.

6481062685440 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 0 + 626 + 8 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 1747386306 + ... + 1747390014.

It is an arithmetic number, because the mean of its divisors is an integer number (23659708800).

Almost surely, 2^{6481062685440} is an apocalyptic number.

6481062685440 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 6481062685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13627992268800).

6481062685440 is an abundant number, since it is smaller than the sum of its proper divisors (20774921852160).

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

6481062685440 is a wasteful number, since it uses less digits than its factorization.

6481062685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 6481062685440 in words is "six trillion, four hundred eighty-one billion, sixty-two million, six hundred eighty-five thousand, four hundred forty".