9695952000 has 384 divisors, whose sum is σ = 39799094400. Its totient is φ = 2215987200.

The previous prime is 9695951999. The next prime is 9695952001. The reversal of 9695952000 is 2595969.

It is an interprime number because it is at equal distance from previous prime (9695951999) and next prime (9695952001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9695952000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9695952001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003191 + ... + 1012809.

It is an arithmetic number, because the mean of its divisors is an integer number (103643475).

Almost surely, 2^9695952000 is an apocalyptic number.

9695952000 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 9695952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899547200).

9695952000 is an abundant number, since it is smaller than the sum of its proper divisors (30103142400).

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

9695952000 is a wasteful number, since it uses less digits than its factorization.

9695952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 9695952000 is about 98468.0252670886. The cubic root of 9695952000 is about 2132.3745257343.

The spelling of 9695952000 in words is "nine billion, six hundred ninety-five million, nine hundred fifty-two thousand".