8535246720 has 512 divisors, whose sum is σ = 36536693760. Its totient is φ = 1636761600.

The previous prime is 8535246703. The next prime is 8535246743. The reversal of 8535246720 is 276425358.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1919700 + ... + 1924140.

It is an arithmetic number, because the mean of its divisors is an integer number (71360730).

Almost surely, 2^8535246720 is an apocalyptic number.

8535246720 is a gapful number since it is divisible by the number (80) 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 8535246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18268346880).

8535246720 is an abundant number, since it is smaller than the sum of its proper divisors (28001447040).

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

8535246720 is a wasteful number, since it uses less digits than its factorization.

8535246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 8535246720 is about 92386.3989989869. The cubic root of 8535246720 is about 2043.6445422864.

It can be divided in two parts, 8535 and 246720, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 8535246720 in words is "eight billion, five hundred thirty-five million, two hundred forty-six thousand, seven hundred twenty".