472802961327840 has 1344 divisors, whose sum is σ = 1968556979148480. Its totient is φ = 105745995694080.

The previous prime is 472802961327817. The next prime is 472802961327877. The reversal of 472802961327840 is 48723169208274.

It is a happy number.

472802961327840 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 0 + 2 + 9 + 613 + 2 + 7 + 8 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 36911771356 + ... + 36911784164.

It is an arithmetic number, because the mean of its divisors is an integer number (1464700133295).

Almost surely, 2^{472802961327840} is an apocalyptic number.

472802961327840 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 472802961327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984278489574240).

472802961327840 is an abundant number, since it is smaller than the sum of its proper divisors (1495754017820640).

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

472802961327840 is a wasteful number, since it uses less digits than its factorization.

472802961327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15079 (or 15056 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 472802961327840 in words is "four hundred seventy-two trillion, eight hundred two billion, nine hundred sixty-one million, three hundred twenty-seven thousand, eight hundred forty".