473947876080 has 320 divisors, whose sum is σ = 1880397742080. Its totient is φ = 107477508096.

The previous prime is 473947876079. The next prime is 473947876097. The reversal of 473947876080 is 80678749374.

473947876080 is a `hidden beast` number, since 47 + 394 + 78 + 7 + 60 + 80 = 666.

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 = 473947875999 and 473947876017.

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 63 ways as a sum of consecutive naturals, for example, 1796832 + ... + 2043648.

It is an arithmetic number, because the mean of its divisors is an integer number (5876242944).

Almost surely, 2^473947876080 is an apocalyptic number.

473947876080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473947876080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940198871040).

473947876080 is an abundant number, since it is smaller than the sum of its proper divisors (1406449866000).

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

473947876080 is a wasteful number, since it uses less digits than its factorization.

473947876080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246973 (or 246961 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 473947876080 in words is "four hundred seventy-three billion, nine hundred forty-seven million, eight hundred seventy-six thousand, eighty".