472775035773600 has 864 divisors, whose sum is σ = 1967253501717504. Its totient is φ = 104549883494400.

The previous prime is 472775035773583. The next prime is 472775035773613. The reversal of 472775035773600 is 6377530577274.

472775035773600 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 7 + 50 + 3 + 577 + 3 + 6 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6363618054 + ... + 6363692346.

It is an arithmetic number, because the mean of its divisors is an integer number (2276913775136).

Almost surely, 2^{472775035773600} is an apocalyptic number.

472775035773600 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 472775035773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983626750858752).

472775035773600 is an abundant number, since it is smaller than the sum of its proper divisors (1494478465943904).

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

472775035773600 is a wasteful number, since it uses less digits than its factorization.

472775035773600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78430 (or 78414 counting only the distinct ones).

The product of its (nonzero) digits is 181515600, while the sum is 63.

The spelling of 472775035773600 in words is "four hundred seventy-two trillion, seven hundred seventy-five billion, thirty-five million, seven hundred seventy-three thousand, six hundred".