463047634766772 has 144 divisors (see below), whose sum is σ = 1286769050671104. Its totient is φ = 139231959048000.

The previous prime is 463047634766713. The next prime is 463047634766779. The reversal of 463047634766772 is 277667436740364.

463047634766772 is a `hidden beast` number, since 4 + 6 + 30 + 4 + 7 + 63 + 476 + 67 + 7 + 2 = 666.

It is a super-2 number, since 2×463047634766772² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 463047634766772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463047634766779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507254397 + ... + 508166427.

It is an arithmetic number, because the mean of its divisors is an integer number (8935896185216).

Almost surely, 2^{463047634766772} 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 463047634766772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643384525335552).

463047634766772 is an abundant number, since it is smaller than the sum of its proper divisors (823721415904332).

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

463047634766772 is a wasteful number, since it uses less digits than its factorization.

463047634766772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921970 (or 921965 counting only the distinct ones).

The product of its (nonzero) digits is 3584673792, while the sum is 72.

The spelling of 463047634766772 in words is "four hundred sixty-three trillion, forty-seven billion, six hundred thirty-four million, seven hundred sixty-six thousand, seven hundred seventy-two".