9649382400 has 792 divisors, whose sum is σ = 40969869824. Its totient is φ = 2123366400.

The previous prime is 9649382387. The next prime is 9649382401. The reversal of 9649382400 is 42839469.

It is a super-2 number, since 2×9649382400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9649382401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49996704 + ... + 49996896.

Almost surely, 2^9649382400 is an apocalyptic number.

9649382400 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 9649382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484934912).

9649382400 is an abundant number, since it is smaller than the sum of its proper divisors (31320487424).

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

9649382400 is a wasteful number, since it uses less digits than its factorization.

9649382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9649382400 is about 98231.2699704122. The cubic root of 9649382400 is about 2128.9551180084.

The spelling of 9649382400 in words is "nine billion, six hundred forty-nine million, three hundred eighty-two thousand, four hundred".