6503362560 has 416 divisors, whose sum is σ = 24376416000. Its totient is φ = 1640300544.

The previous prime is 6503362517. The next prime is 6503362573. The reversal of 6503362560 is 652633056.

6503362560 is a `hidden beast` number, since 6 + 5 + 0 + 33 + 62 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10505931 + ... + 10506549.

Almost surely, 2^6503362560 is an apocalyptic number.

6503362560 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 6503362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188208000).

6503362560 is an abundant number, since it is smaller than the sum of its proper divisors (17873053440).

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

6503362560 is a wasteful number, since it uses less digits than its factorization.

6503362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 6503362560 is about 80643.4284985454. The cubic root of 6503362560 is about 1866.5773381289.

The spelling of 6503362560 in words is "six billion, five hundred three million, three hundred sixty-two thousand, five hundred sixty".