475620647040 has 2560 divisors, whose sum is σ = 2308431882240. Its totient is φ = 90296156160.

The previous prime is 475620646993. The next prime is 475620647077. The reversal of 475620647040 is 40746026574.

475620647040 is a `hidden beast` number, since 4 + 7 + 562 + 0 + 6 + 47 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2917917999 + ... + 2917918161.

It is an arithmetic number, because the mean of its divisors is an integer number (901731204).

Almost surely, 2^475620647040 is an apocalyptic number.

475620647040 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 475620647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154215941120).

475620647040 is an abundant number, since it is smaller than the sum of its proper divisors (1832811235200).

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

475620647040 is a wasteful number, since it uses less digits than its factorization.

475620647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 475620647040 in words is "four hundred seventy-five billion, six hundred twenty million, six hundred forty-seven thousand, forty".