472775531847840 has 288 divisors, whose sum is σ = 1739132096541840. Its totient is φ = 116262852968448.

The previous prime is 472775531847791. The next prime is 472775531847859. The reversal of 472775531847840 is 48748135577274.

472775531847840 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 7 + 5 + 531 + 8 + 4 + 7 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 105699207744144 + 367076324103696 = 10281012^2 + 19159236^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 7113606 + ... + 31561914.

Almost surely, 2^{472775531847840} is an apocalyptic number.

472775531847840 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 472775531847840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869566048270920).

472775531847840 is an abundant number, since it is smaller than the sum of its proper divisors (1266356564694000).

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

472775531847840 is a wasteful number, since it uses less digits than its factorization.

472775531847840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24449376 (or 24449365 counting only the distinct ones).

The product of its (nonzero) digits is 1475174400, while the sum is 72.

The spelling of 472775531847840 in words is "four hundred seventy-two trillion, seven hundred seventy-five billion, five hundred thirty-one million, eight hundred forty-seven thousand, eight hundred forty".