474784727040 has 880 divisors, whose sum is σ = 1875759410448. Its totient is φ = 114152177664.

The previous prime is 474784727033. The next prime is 474784727047. The reversal of 474784727040 is 40727487474.

474784727040 is a `hidden beast` number, since 474 + 78 + 47 + 27 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (474784727033) and next prime (474784727047).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474784727047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11041505259 + ... + 11041505301.

Almost surely, 2^474784727040 is an apocalyptic number.

474784727040 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 474784727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937879705224).

474784727040 is an abundant number, since it is smaller than the sum of its proper divisors (1400974683408).

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

474784727040 is an frugal number, since it uses more digits than its factorization.

474784727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9834496, while the sum is 54.

The spelling of 474784727040 in words is "four hundred seventy-four billion, seven hundred eighty-four million, seven hundred twenty-seven thousand, forty".