473680576512 has 756 divisors, whose sum is σ = 1676345068944. Its totient is φ = 132498063360.

The previous prime is 473680576493. The next prime is 473680576531. The reversal of 473680576512 is 215675086374.

473680576512 is a `hidden beast` number, since 4 + 7 + 3 + 68 + 0 + 576 + 5 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (473680576493) and next prime (473680576531).

It is a super-2 number, since 2×473680576512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36436967418 + ... + 36436967430.

Almost surely, 2^473680576512 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 473680576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838172534472).

473680576512 is an abundant number, since it is smaller than the sum of its proper divisors (1202664492432).

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

473680576512 is an frugal number, since it uses more digits than its factorization.

473680576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 473680576512 in words is "four hundred seventy-three billion, six hundred eighty million, five hundred seventy-six thousand, five hundred twelve".