9951770400 has 576 divisors, whose sum is σ = 38553532416. Its totient is φ = 2198016000.

The previous prime is 9951770371. The next prime is 9951770407. The reversal of 9951770400 is 40771599.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9951770407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36722265 + ... + 36722535.

It is an arithmetic number, because the mean of its divisors is an integer number (66933216).

Almost surely, 2^9951770400 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 9951770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276766208).

9951770400 is an abundant number, since it is smaller than the sum of its proper divisors (28601762016).

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

9951770400 is a wasteful number, since it uses less digits than its factorization.

9951770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 9951770400 is about 99758.5605349235. The cubic root of 9951770400 is about 2150.9655227106.

The spelling of 9951770400 in words is "nine billion, nine hundred fifty-one million, seven hundred seventy thousand, four hundred".