473740979624640 has 3136 divisors, whose sum is σ = 2138743599584256. Its totient is φ = 97251755065344.

The previous prime is 473740979624611. The next prime is 473740979624651. The reversal of 473740979624640 is 46426979047374.

473740979624640 is a `hidden beast` number, since 4 + 7 + 3 + 74 + 0 + 9 + 7 + 96 + 2 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 118051575274 + ... + 118051579286.

It is an arithmetic number, because the mean of its divisors is an integer number (681997321296).

Almost surely, 2^{473740979624640} is an apocalyptic number.

473740979624640 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 473740979624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069371799792128).

473740979624640 is an abundant number, since it is smaller than the sum of its proper divisors (1665002619959616).

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

473740979624640 is a wasteful number, since it uses less digits than its factorization.

473740979624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 473740979624640 in words is "four hundred seventy-three trillion, seven hundred forty billion, nine hundred seventy-nine million, six hundred twenty-four thousand, six hundred forty".