8736829920 has 576 divisors, whose sum is σ = 37330360704. Its totient is φ = 1811496960.

The previous prime is 8736829919. The next prime is 8736829921. The reversal of 8736829920 is 299286378.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8736829919) and next prime (8736829921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8736829921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7992894 + ... + 7993986.

It is an arithmetic number, because the mean of its divisors is an integer number (64809654).

Almost surely, 2^8736829920 is an apocalyptic number.

8736829920 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 8736829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665180352).

8736829920 is an abundant number, since it is smaller than the sum of its proper divisors (28593530784).

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

8736829920 is a wasteful number, since it uses less digits than its factorization.

8736829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8736829920 is about 93471.0111210957. The cubic root of 8736829920 is about 2059.6082706293.

The spelling of 8736829920 in words is "eight billion, seven hundred thirty-six million, eight hundred twenty-nine thousand, nine hundred twenty".