9476006400 has 480 divisors, whose sum is σ = 39760490880. Its totient is φ = 2165391360.

The previous prime is 9476006381. The next prime is 9476006429. The reversal of 9476006400 is 46006749.

9476006400 is a `hidden beast` number, since 9 + 4 + 7 + 6 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2417242 + ... + 2421158.

It is an arithmetic number, because the mean of its divisors is an integer number (82834356).

Almost surely, 2^9476006400 is an apocalyptic number.

9476006400 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 9476006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880245440).

9476006400 is an abundant number, since it is smaller than the sum of its proper divisors (30284484480).

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

9476006400 is a wasteful number, since it uses less digits than its factorization.

9476006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9476006400 is about 97344.7810619552. The cubic root of 9476006400 is about 2116.1272598541.

The spelling of 9476006400 in words is "nine billion, four hundred seventy-six million, six thousand, four hundred".