472942229760 has 3456 divisors, whose sum is σ = 2399898009600. Its totient is φ = 87787929600.

The previous prime is 472942229759. The next prime is 472942229777. The reversal of 472942229760 is 67922249274.

472942229760 is a `hidden beast` number, since 4 + 7 + 294 + 2 + 2 + 297 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 472942229697 and 472942229706.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15256200945 + ... + 15256200975.

Almost surely, 2^472942229760 is an apocalyptic number.

472942229760 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 472942229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199949004800).

472942229760 is an abundant number, since it is smaller than the sum of its proper divisors (1926955779840).

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

472942229760 is a wasteful number, since it uses less digits than its factorization.

472942229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 472942229760 in words is "four hundred seventy-two billion, nine hundred forty-two million, two hundred twenty-nine thousand, seven hundred sixty".