8948736000 has 336 divisors, whose sum is σ = 32294431728. Its totient is φ = 2383872000.

The previous prime is 8948735989. The next prime is 8948736073. The reversal of 8948736000 is 6378498.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215515 + ... + 9216485.

Almost surely, 2^8948736000 is an apocalyptic number.

8948736000 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 8948736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147215864).

8948736000 is an abundant number, since it is smaller than the sum of its proper divisors (23345695728).

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

8948736000 is an equidigital number, since it uses as much as digits as its factorization.

8948736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8948736000 is about 94597.7589586561. The cubic root of 8948736000 is about 2076.1269148467.

The spelling of 8948736000 in words is "eight billion, nine hundred forty-eight million, seven hundred thirty-six thousand".