472661174168064 has 320 divisors, whose sum is σ = 1607915665382400. Its totient is φ = 134291597635584.

The previous prime is 472661174168059. The next prime is 472661174168089. The reversal of 472661174168064 is 460861471166274.

472661174168064 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 611 + 7 + 4 + 1 + 6 + 8 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×472661174168064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 472661174167992 and 472661174168010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3677679 + ... + 30965265.

It is an arithmetic number, because the mean of its divisors is an integer number (5024736454320).

Almost surely, 2^{472661174168064} 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 472661174168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803957832691200).

472661174168064 is an abundant number, since it is smaller than the sum of its proper divisors (1135254491214336).

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

472661174168064 is a wasteful number, since it uses less digits than its factorization.

472661174168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27287800 (or 27287778 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 472661174168064 in words is "four hundred seventy-two trillion, six hundred sixty-one billion, one hundred seventy-four million, one hundred sixty-eight thousand, sixty-four".