474653786880 has 1152 divisors, whose sum is σ = 1972663418880. Its totient is φ = 94569431040.

The previous prime is 474653786861. The next prime is 474653786903. The reversal of 474653786880 is 88687356474.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465803011 + ... + 465804029.

It is an arithmetic number, because the mean of its divisors is an integer number (1712381440).

Almost surely, 2^474653786880 is an apocalyptic number.

474653786880 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 474653786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986331709440).

474653786880 is an abundant number, since it is smaller than the sum of its proper divisors (1498009632000).

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

474653786880 is a wasteful number, since it uses less digits than its factorization.

474653786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 474653786880 in words is "four hundred seventy-four billion, six hundred fifty-three million, seven hundred eighty-six thousand, eight hundred eighty".