6450636240 has 480 divisors, whose sum is σ = 23498781696. Its totient is φ = 1582571520.

The previous prime is 6450636239. The next prime is 6450636253. The reversal of 6450636240 is 426360546.

6450636240 is a `hidden beast` number, since 645 + 0 + 6 + 3 + 6 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×6450636240² = 83221415801602675200, 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 = 6450636195 and 6450636204.

It is a congruent number.

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, 60286267 + ... + 60286373.

Almost surely, 2^6450636240 is an apocalyptic number.

6450636240 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 6450636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749390848).

6450636240 is an abundant number, since it is smaller than the sum of its proper divisors (17048145456).

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

6450636240 is a wasteful number, since it uses less digits than its factorization.

6450636240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

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

The square root of 6450636240 is about 80315.8529805916. The cubic root of 6450636240 is about 1861.5191889444.

Adding to 6450636240 its reverse (426360546), we get a palindrome (6876996786).

The spelling of 6450636240 in words is "six billion, four hundred fifty million, six hundred thirty-six thousand, two hundred forty".