6464611040 has 192 divisors, whose sum is σ = 16387080192. Its totient is φ = 2405683200.

The previous prime is 6464611019. The next prime is 6464611079. The reversal of 6464611040 is 401164646.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6464610988 and 6464611006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16878689 + ... + 16879071.

It is an arithmetic number, because the mean of its divisors is an integer number (85349376).

Almost surely, 2^6464611040 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 6464611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193540096).

6464611040 is an abundant number, since it is smaller than the sum of its proper divisors (9922469152).

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

6464611040 is a wasteful number, since it uses less digits than its factorization.

6464611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 6464611040 is about 80402.8049261964. The cubic root of 6464611040 is about 1862.8624980355.

Adding to 6464611040 its reverse (401164646), we get a palindrome (6865775686).

The spelling of 6464611040 in words is "six billion, four hundred sixty-four million, six hundred eleven thousand, forty".