6503282640 has 240 divisors, whose sum is σ = 22991736768. Its totient is φ = 1707982848.

The previous prime is 6503282623. The next prime is 6503282657. The reversal of 6503282640 is 462823056.

6503282640 is a `hidden beast` number, since 6 + 5 + 0 + 3 + 2 + 8 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6503282623) and next prime (6503282657).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 6503282595 and 6503282604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299984 + ... + 1304976.

Almost surely, 2^6503282640 is an apocalyptic number.

6503282640 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 6503282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495868384).

6503282640 is an abundant number, since it is smaller than the sum of its proper divisors (16488454128).

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

6503282640 is a wasteful number, since it uses less digits than its factorization.

6503282640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6503282640 is about 80642.9329823761. The cubic root of 6503282640 is about 1866.5696919576.

The spelling of 6503282640 in words is "six billion, five hundred three million, two hundred eighty-two thousand, six hundred forty".