472936332960 has 1440 divisors, whose sum is σ = 2091843895680. Its totient is φ = 98519556096.

The previous prime is 472936332937. The next prime is 472936332989. The reversal of 472936332960 is 69233639274.

472936332960 is a `hidden beast` number, since 4 + 7 + 293 + 63 + 3 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 472936332897 and 472936332906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1671152979 + ... + 1671153261.

It is an arithmetic number, because the mean of its divisors is an integer number (1452669372).

Almost surely, 2^472936332960 is an apocalyptic number.

472936332960 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 472936332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045921947840).

472936332960 is an abundant number, since it is smaller than the sum of its proper divisors (1618907562720).

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

472936332960 is a wasteful number, since it uses less digits than its factorization.

472936332960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 472936332960 in words is "four hundred seventy-two billion, nine hundred thirty-six million, three hundred thirty-two thousand, nine hundred sixty".