472774658627700 has 648 divisors, whose sum is σ = 1759352887505304. Its totient is φ = 105481687449600.

The previous prime is 472774658627647. The next prime is 472774658627717. The reversal of 472774658627700 is 7726856477274.

It is a happy number.

472774658627700 is a `hidden beast` number, since 4 + 7 + 2 + 77 + 465 + 8 + 6 + 27 + 70 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 125123866630884 + 347650791996816 = 11185878^2 + 18645396^2 .

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, 476595424 + ... + 477586376.

It is an arithmetic number, because the mean of its divisors is an integer number (2715050752323).

Almost surely, 2^{472774658627700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472774658627700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879676443752652).

472774658627700 is an abundant number, since it is smaller than the sum of its proper divisors (1286578228877604).

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

472774658627700 is a wasteful number, since it uses less digits than its factorization.

472774658627700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991345 (or 991324 counting only the distinct ones).

The product of its (nonzero) digits is 1548933120, while the sum is 72.

The spelling of 472774658627700 in words is "four hundred seventy-two trillion, seven hundred seventy-four billion, six hundred fifty-eight million, six hundred twenty-seven thousand, seven hundred".