6536142720 has 320 divisors, whose sum is σ = 23748476400. Its totient is φ = 1712627712.

The previous prime is 6536142719. The next prime is 6536142721. The reversal of 6536142720 is 272416356.

It is an interprime number because it is at equal distance from previous prime (6536142719) and next prime (6536142721).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6536142721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3057492 + ... + 3059628.

Almost surely, 2^6536142720 is an apocalyptic number.

6536142720 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 6536142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874238200).

6536142720 is an abundant number, since it is smaller than the sum of its proper divisors (17212333680).

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

6536142720 is a wasteful number, since it uses less digits than its factorization.

6536142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6536142720 is about 80846.4143917342. The cubic root of 6536142720 is about 1869.7082408688.

The spelling of 6536142720 in words is "six billion, five hundred thirty-six million, one hundred forty-two thousand, seven hundred twenty".