8736215040 has 832 divisors, whose sum is σ = 37052152320. Its totient is φ = 1911029760.

The previous prime is 8736215021. The next prime is 8736215071. The reversal of 8736215040 is 405126378.

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

It is a junction number, because it is equal to n+sod(n) for n = 8736214986 and 8736215004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143216610 + ... + 143216670.

Almost surely, 2^8736215040 is an apocalyptic number.

8736215040 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 8736215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18526076160).

8736215040 is an abundant number, since it is smaller than the sum of its proper divisors (28315937280).

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

8736215040 is a wasteful number, since it uses less digits than its factorization.

8736215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8736215040 is about 93467.7219151082. The cubic root of 8736215040 is about 2059.5599525072.

The spelling of 8736215040 in words is "eight billion, seven hundred thirty-six million, two hundred fifteen thousand, forty".