472596783120 has 1280 divisors, whose sum is σ = 2126126776320. Its totient is φ = 93623040000.

The previous prime is 472596783091. The next prime is 472596783133. The reversal of 472596783120 is 21387695274.

It is a happy number.

472596783120 is a `hidden beast` number, since 4 + 7 + 259 + 6 + 78 + 312 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 366069675 + ... + 366070965.

It is an arithmetic number, because the mean of its divisors is an integer number (1661036544).

It is a 1-persistent number, because it is pandigital, but 2⋅472596783120 = 945193566240 is not.

Almost surely, 2^472596783120 is an apocalyptic number.

472596783120 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 472596783120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063063388160).

472596783120 is an abundant number, since it is smaller than the sum of its proper divisors (1653529993200).

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

472596783120 is a wasteful number, since it uses less digits than its factorization.

472596783120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 472596783120 in words is "four hundred seventy-two billion, five hundred ninety-six million, seven hundred eighty-three thousand, one hundred twenty".