6785201520 has 240 divisors, whose sum is σ = 24210137952. Its totient is φ = 1765048320.

The previous prime is 6785201519. The next prime is 6785201531. The reversal of 6785201520 is 251025876.

It is a happy number.

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 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, 792784 + ... + 801296.

Almost surely, 2^6785201520 is an apocalyptic number.

6785201520 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 6785201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105068976).

6785201520 is an abundant number, since it is smaller than the sum of its proper divisors (17424936432).

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

6785201520 is a wasteful number, since it uses less digits than its factorization.

6785201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 6785201520 is about 82372.3346761520. The cubic root of 6785201520 is about 1893.1611497300.

The spelling of 6785201520 in words is "six billion, seven hundred eighty-five million, two hundred one thousand, five hundred twenty".