6465623040 has 176 divisors, whose sum is σ = 22978148160. Its totient is φ = 1724129280.

The previous prime is 6465623033. The next prime is 6465623057. The reversal of 6465623040 is 403265646.

6465623040 is a `hidden beast` number, since 64 + 6 + 562 + 30 + 4 + 0 = 666.

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 = 6465622986 and 6465623004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114855 + ... + 161625.

It is an arithmetic number, because the mean of its divisors is an integer number (130557660).

Almost surely, 2^6465623040 is an apocalyptic number.

6465623040 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 6465623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489074080).

6465623040 is an abundant number, since it is smaller than the sum of its proper divisors (16512525120).

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

6465623040 is a wasteful number, since it uses less digits than its factorization.

6465623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46805 (or 46781 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6465623040 is about 80409.0979927023. The cubic root of 6465623040 is about 1862.9596999899.

Adding to 6465623040 its reverse (403265646), we get a palindrome (6868888686).

The spelling of 6465623040 in words is "six billion, four hundred sixty-five million, six hundred twenty-three thousand, forty".