472926988800 has 2160 divisors, whose sum is σ = 2131859489760. Its totient is φ = 103394672640.

The previous prime is 472926988711. The next prime is 472926988813. The reversal of 472926988800 is 8889629274.

472926988800 is a `hidden beast` number, since 472 + 9 + 2 + 6 + 9 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4419878347 + ... + 4419878453.

It is an arithmetic number, because the mean of its divisors is an integer number (986971986).

Almost surely, 2^472926988800 is an apocalyptic number.

472926988800 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 472926988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065929744880).

472926988800 is an abundant number, since it is smaller than the sum of its proper divisors (1658932500960).

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

472926988800 is a wasteful number, since it uses less digits than its factorization.

472926988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 472926988800 in words is "four hundred seventy-two billion, nine hundred twenty-six million, nine hundred eighty-eight thousand, eight hundred".