6481607040 has 384 divisors, whose sum is σ = 23577765120. Its totient is φ = 1701181440.

The previous prime is 6481607003. The next prime is 6481607089. The reversal of 6481607040 is 407061846.

6481607040 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 607 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6481607040² = 84022459641955123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6481606986 and 6481607004.

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 47 ways as a sum of consecutive naturals, for example, 11041627 + ... + 11042213.

It is an arithmetic number, because the mean of its divisors is an integer number (61400430).

Almost surely, 2^6481607040 is an apocalyptic number.

6481607040 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 6481607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11788882560).

6481607040 is an abundant number, since it is smaller than the sum of its proper divisors (17096158080).

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

6481607040 is an equidigital number, since it uses as much as digits as its factorization.

6481607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6481607040 is about 80508.4283786487. The cubic root of 6481607040 is about 1864.4936095659.

Adding to 6481607040 its reverse (407061846), we get a palindrome (6888668886).

The spelling of 6481607040 in words is "six billion, four hundred eighty-one million, six hundred seven thousand, forty".