472616040960 has 960 divisors, whose sum is σ = 1998031546368. Its totient is φ = 100892639232.

The previous prime is 472616040931. The next prime is 472616040977. The reversal of 472616040960 is 69040616274.

472616040960 is a `hidden beast` number, since 4 + 7 + 26 + 160 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 159504439 + ... + 159507401.

Almost surely, 2^472616040960 is an apocalyptic number.

472616040960 is a gapful number since it is divisible by the number (40) 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 472616040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999015773184).

472616040960 is an abundant number, since it is smaller than the sum of its proper divisors (1525415505408).

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

472616040960 is a wasteful number, since it uses less digits than its factorization.

472616040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 472616040960 in words is "four hundred seventy-two billion, six hundred sixteen million, forty thousand, nine hundred sixty".