475678743120 has 480 divisors, whose sum is σ = 1894986213120. Its totient is φ = 104625561600.

The previous prime is 475678743119. The next prime is 475678743121. The reversal of 475678743120 is 21347876574.

475678743120 is a `hidden beast` number, since 4 + 7 + 567 + 8 + 74 + 3 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (475678743119) and next prime (475678743121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475678743121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 44865820 + ... + 44876420.

It is an arithmetic number, because the mean of its divisors is an integer number (3947887944).

Almost surely, 2^475678743120 is an apocalyptic number.

475678743120 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 475678743120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947493106560).

475678743120 is an abundant number, since it is smaller than the sum of its proper divisors (1419307470000).

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

475678743120 is a wasteful number, since it uses less digits than its factorization.

475678743120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10963 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

It can be divided in two parts, 4756 and 78743120, that added together give a square (78747876 = 8874²).

The spelling of 475678743120 in words is "four hundred seventy-five billion, six hundred seventy-eight million, seven hundred forty-three thousand, one hundred twenty".