472772365270776 has 192 divisors, whose sum is σ = 1299269858796000. Its totient is φ = 155286530555904.

The previous prime is 472772365270753. The next prime is 472772365270811. The reversal of 472772365270776 is 677072563277274.

472772365270776 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 7 + 23 + 6 + 527 + 0 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2405268150 + ... + 2405464698.

Almost surely, 2^{472772365270776} 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 472772365270776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649634929398000).

472772365270776 is an abundant number, since it is smaller than the sum of its proper divisors (826497493525224).

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

472772365270776 is a wasteful number, since it uses less digits than its factorization.

472772365270776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198158 (or 198151 counting only the distinct ones).

The product of its (nonzero) digits is 2032974720, while the sum is 72.

The spelling of 472772365270776 in words is "four hundred seventy-two trillion, seven hundred seventy-two billion, three hundred sixty-five million, two hundred seventy thousand, seven hundred seventy-six".