6481620040 has 192 divisors, whose sum is σ = 17575790400. Its totient is φ = 2143314432.

The previous prime is 6481620029. The next prime is 6481620059. The reversal of 6481620040 is 400261846.

It is a super-2 number, since 2×6481620040² = 84022796685859203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6481619984 and 6481620011.

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, 10079959 + ... + 10080601.

It is an arithmetic number, because the mean of its divisors is an integer number (91540575).

Almost surely, 2^6481620040 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 6481620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787895200).

6481620040 is an abundant number, since it is smaller than the sum of its proper divisors (11094170360).

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

6481620040 is a wasteful number, since it uses less digits than its factorization.

6481620040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 6481620040 is about 80508.5091154966. The cubic root of 6481620040 is about 1864.4948560881.

Adding to 6481620040 its reverse (400261846), we get a palindrome (6881881886).

The spelling of 6481620040 in words is "six billion, four hundred eighty-one million, six hundred twenty thousand, forty".