6505246440 has 384 divisors, whose sum is σ = 26613100800. Its totient is φ = 1338716160.

The previous prime is 6505246439. The next prime is 6505246457. The reversal of 6505246440 is 446425056.

6505246440 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 2 + 4 + 644 + 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 = 6505246395 and 6505246404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3020404 + ... + 3022556.

It is an arithmetic number, because the mean of its divisors is an integer number (69304950).

Almost surely, 2^6505246440 is an apocalyptic number.

6505246440 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 6505246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306550400).

6505246440 is an abundant number, since it is smaller than the sum of its proper divisors (20107854360).

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

6505246440 is a wasteful number, since it uses less digits than its factorization.

6505246440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6505246440 is about 80655.1079597566. The cubic root of 6505246440 is about 1866.7575560903.

The spelling of 6505246440 in words is "six billion, five hundred five million, two hundred forty-six thousand, four hundred forty".