9615830400 has 576 divisors, whose sum is σ = 37883289600. Its totient is φ = 2303078400.

The previous prime is 9615830381. The next prime is 9615830423. The reversal of 9615830400 is 40385169.

9615830400 is a `hidden beast` number, since 9 + 615 + 8 + 30 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40233481 + ... + 40233719.

It is an arithmetic number, because the mean of its divisors is an integer number (65769600).

Almost surely, 2^9615830400 is an apocalyptic number.

9615830400 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 9615830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941644800).

9615830400 is an abundant number, since it is smaller than the sum of its proper divisors (28267459200).

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

9615830400 is a wasteful number, since it uses less digits than its factorization.

9615830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9615830400 is about 98060.3406071996. The cubic root of 9615830400 is about 2126.4847128105.

The spelling of 9615830400 in words is "nine billion, six hundred fifteen million, eight hundred thirty thousand, four hundred".