472461203620736 has 128 divisors (see below), whose sum is σ = 1028412011783520. Its totient is φ = 214417566720000.

The previous prime is 472461203620729. The next prime is 472461203620801. The reversal of 472461203620736 is 637026302164274.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×472461203620736² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7640398010 + ... + 7640459846.

Almost surely, 2^{472461203620736} 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 472461203620736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514206005891760).

472461203620736 is an abundant number, since it is smaller than the sum of its proper divisors (555950808162784).

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

472461203620736 is a wasteful number, since it uses less digits than its factorization.

472461203620736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70304 (or 70292 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 53.

The spelling of 472461203620736 in words is "four hundred seventy-two trillion, four hundred sixty-one billion, two hundred three million, six hundred twenty thousand, seven hundred thirty-six".