9464716800 has 1080 divisors, whose sum is σ = 42988113168. Its totient is φ = 1946419200.

The previous prime is 9464716787. The next prime is 9464716813. The reversal of 9464716800 is 86174649.

It is an interprime number because it is at equal distance from previous prime (9464716787) and next prime (9464716813).

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 107 ways as a sum of consecutive naturals, for example, 97574352 + ... + 97574448.

Almost surely, 2^9464716800 is an apocalyptic number.

9464716800 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 9464716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494056584).

9464716800 is an abundant number, since it is smaller than the sum of its proper divisors (33523396368).

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

9464716800 is a wasteful number, since it uses less digits than its factorization.

9464716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

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

The square root of 9464716800 is about 97286.7760797941. The cubic root of 9464716800 is about 2115.2865497103.

The spelling of 9464716800 in words is "nine billion, four hundred sixty-four million, seven hundred sixteen thousand, eight hundred".