9472377600 has 864 divisors, whose sum is σ = 40877383680. Its totient is φ = 2101248000.

The previous prime is 9472377589. The next prime is 9472377631. The reversal of 9472377600 is 67732749.

It is a happy number.

9472377600 is a `hidden beast` number, since 9 + 4 + 7 + 2 + 37 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 49593505 + ... + 49593695.

Almost surely, 2^9472377600 is an apocalyptic number.

9472377600 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 9472377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438691840).

9472377600 is an abundant number, since it is smaller than the sum of its proper divisors (31405006080).

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

9472377600 is a wasteful number, since it uses less digits than its factorization.

9472377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 9472377600 is about 97326.1403734886. The cubic root of 9472377600 is about 2115.8571044497.

The spelling of 9472377600 in words is "nine billion, four hundred seventy-two million, three hundred seventy-seven thousand, six hundred".