473988680640 has 896 divisors, whose sum is σ = 1784659107840. Its totient is φ = 118244966400.

The previous prime is 473988680623. The next prime is 473988680647. The reversal of 473988680640 is 46086889374.

473988680640 is a `hidden beast` number, since 473 + 9 + 8 + 86 + 80 + 6 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473988680647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1094661864 + ... + 1094662296.

It is an arithmetic number, because the mean of its divisors is an integer number (1991807040).

Almost surely, 2^473988680640 is an apocalyptic number.

473988680640 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 473988680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892329553920).

473988680640 is an abundant number, since it is smaller than the sum of its proper divisors (1310670427200).

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

473988680640 is a wasteful number, since it uses less digits than its factorization.

473988680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 473988680640 in words is "four hundred seventy-three billion, nine hundred eighty-eight million, six hundred eighty thousand, six hundred forty".