8409937536 has 1152 divisors, whose sum is σ = 35749123200. Its totient is φ = 1897758720.

The previous prime is 8409937531. The next prime is 8409937561. The reversal of 8409937536 is 6357399048.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8409937531) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 494702200 + ... + 494702216.

It is an arithmetic number, because the mean of its divisors is an integer number (31032225).

Almost surely, 2^8409937536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8409937536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874561600).

8409937536 is an abundant number, since it is smaller than the sum of its proper divisors (27339185664).

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

8409937536 is a wasteful number, since it uses less digits than its factorization.

8409937536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 8409937536 is about 91705.7115778510. The cubic root of 8409937536 is about 2033.5940227498.

The spelling of 8409937536 in words is "eight billion, four hundred nine million, nine hundred thirty-seven thousand, five hundred thirty-six".