9870164400 has 480 divisors, whose sum is σ = 34328088576. Its totient is φ = 2419200000.

The previous prime is 9870164387. The next prime is 9870164443. The reversal of 9870164400 is 44610789.

It is a happy 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, 97724350 + ... + 97724450.

Almost surely, 2^9870164400 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 9870164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17164044288).

9870164400 is an abundant number, since it is smaller than the sum of its proper divisors (24457924176).

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

9870164400 is a wasteful number, since it uses less digits than its factorization.

9870164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 9870164400 is about 99348.7010483781. The cubic root of 9870164400 is about 2145.0699658228.

The spelling of 9870164400 in words is "nine billion, eight hundred seventy million, one hundred sixty-four thousand, four hundred".