9948732000 has 384 divisors, whose sum is σ = 33966511488. Its totient is φ = 2543616000.

The previous prime is 9948731983. The next prime is 9948732011. The reversal of 9948732000 is 2378499.

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, 35915862 + ... + 35916138.

It is an arithmetic number, because the mean of its divisors is an integer number (88454457).

Almost surely, 2^9948732000 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 9948732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983255744).

9948732000 is an abundant number, since it is smaller than the sum of its proper divisors (24017779488).

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

9948732000 is a wasteful number, since it uses less digits than its factorization.

9948732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 9948732000 is about 99743.3306041061. The cubic root of 9948732000 is about 2150.7465948678.

The spelling of 9948732000 in words is "nine billion, nine hundred forty-eight million, seven hundred thirty-two thousand".