473765029920 has 1152 divisors, whose sum is σ = 2097994348800. Its totient is φ = 98963472384.

The previous prime is 473765029909. The next prime is 473765029921. The reversal of 473765029920 is 29920567374.

473765029920 is a `hidden beast` number, since 47 + 3 + 7 + 6 + 502 + 9 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (473765029921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294446076 + ... + 294447684.

It is an arithmetic number, because the mean of its divisors is an integer number (1821175650).

Almost surely, 2^473765029920 is an apocalyptic number.

473765029920 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 473765029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048997174400).

473765029920 is an abundant number, since it is smaller than the sum of its proper divisors (1624229318880).

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

473765029920 is a wasteful number, since it uses less digits than its factorization.

473765029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 473765029920 in words is "four hundred seventy-three billion, seven hundred sixty-five million, twenty-nine thousand, nine hundred twenty".