9947952000 has 768 divisors, whose sum is σ = 41702169600. Its totient is φ = 2225664000.

The previous prime is 9947951947. The next prime is 9947952011. The reversal of 9947952000 is 2597499.

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 95 ways as a sum of consecutive naturals, for example, 71567931 + ... + 71568069.

It is an arithmetic number, because the mean of its divisors is an integer number (54299700).

Almost surely, 2^9947952000 is an apocalyptic number.

9947952000 is a gapful number since it is divisible by the number (90) 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 9947952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851084800).

9947952000 is an abundant number, since it is smaller than the sum of its proper divisors (31754217600).

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

9947952000 is a wasteful number, since it uses less digits than its factorization.

9947952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 9947952000 is about 99739.4204915990. The cubic root of 9947952000 is about 2150.6903858223.

The spelling of 9947952000 in words is "nine billion, nine hundred forty-seven million, nine hundred fifty-two thousand".