472408672765767 has 96 divisors (see below), whose sum is σ = 688898014974720. Its totient is φ = 287143496640000.

The previous prime is 472408672765747. The next prime is 472408672765769. The reversal of 472408672765767 is 767567276804274.

It is not a de Polignac number, because 472408672765767 - 2¹⁹ = 472408672241479 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 472408672765692 and 472408672765701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472408672765769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15268032517 + ... + 15268063457.

It is an arithmetic number, because the mean of its divisors is an integer number (7176020989320).

Almost surely, 2^{472408672765767} is an apocalyptic number.

472408672765767 is a deficient number, since it is larger than the sum of its proper divisors (216489342208953).

472408672765767 is a wasteful number, since it uses less digits than its factorization.

472408672765767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32557 (or 32526 counting only the distinct ones).

The product of its (nonzero) digits is 9293598720, while the sum is 78.

The spelling of 472408672765767 in words is "four hundred seventy-two trillion, four hundred eight billion, six hundred seventy-two million, seven hundred sixty-five thousand, seven hundred sixty-seven".