475653022416000 has 5120 divisors, whose sum is σ = 2182961017036800. Its totient is φ = 101000908800000.

The previous prime is 475653022415983. The next prime is 475653022416001. The reversal of 475653022416000 is 614220356574.

475653022416000 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 5 + 30 + 2 + 2 + 4 + 1 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (475653022416001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 643644143631 + ... + 643644144369.

It is an arithmetic number, because the mean of its divisors is an integer number (426359573640).

Almost surely, 2^{475653022416000} is an apocalyptic number.

475653022416000 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 475653022416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091480508518400).

475653022416000 is an abundant number, since it is smaller than the sum of its proper divisors (1707307994620800).

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

475653022416000 is a wasteful number, since it uses less digits than its factorization.

475653022416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 475653022416000 in words is "four hundred seventy-five trillion, six hundred fifty-three billion, twenty-two million, four hundred sixteen thousand".