6780503520 has 480 divisors, whose sum is σ = 28241934336. Its totient is φ = 1499212800.

The previous prime is 6780503519. The next prime is 6780503557. The reversal of 6780503520 is 253050876.

6780503520 is a `hidden beast` number, since 6 + 7 + 80 + 50 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2811115 + ... + 2813525.

Almost surely, 2^6780503520 is an apocalyptic number.

6780503520 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 6780503520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120967168).

6780503520 is an abundant number, since it is smaller than the sum of its proper divisors (21461430816).

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

6780503520 is a wasteful number, since it uses less digits than its factorization.

6780503520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6780503520 is about 82343.8128823289. The cubic root of 6780503520 is about 1892.7241140937.

The spelling of 6780503520 in words is "six billion, seven hundred eighty million, five hundred three thousand, five hundred twenty".