474500474064000 has 1536 divisors, whose sum is σ = 1873080053994240. Its totient is φ = 118965185740800.

The previous prime is 474500474063953. The next prime is 474500474064011. The reversal of 474500474064000 is 460474005474.

It is a happy number.

474500474064000 is a `hidden beast` number, since 4 + 7 + 4 + 500 + 47 + 40 + 64 + 0 + 0 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73829228787 + ... + 73829235213.

Almost surely, 2^{474500474064000} is an apocalyptic number.

474500474064000 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 474500474064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936540026997120).

474500474064000 is an abundant number, since it is smaller than the sum of its proper divisors (1398579579930240).

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

474500474064000 is a wasteful number, since it uses less digits than its factorization.

474500474064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 474500474064000 in words is "four hundred seventy-four trillion, five hundred billion, four hundred seventy-four million, sixty-four thousand".