473629151520 has 1152 divisors, whose sum is σ = 2007591505920. Its totient is φ = 99283968000.

The previous prime is 473629151507. The next prime is 473629151543. The reversal of 473629151520 is 25151926374.

473629151520 is a `hidden beast` number, since 4 + 7 + 3 + 629 + 1 + 5 + 15 + 2 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 829472835 + ... + 829473405.

It is an arithmetic number, because the mean of its divisors is an integer number (1742700960).

Almost surely, 2^473629151520 is an apocalyptic number.

473629151520 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 473629151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003795752960).

473629151520 is an abundant number, since it is smaller than the sum of its proper divisors (1533962354400).

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

473629151520 is a wasteful number, since it uses less digits than its factorization.

473629151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 473629151520 in words is "four hundred seventy-three billion, six hundred twenty-nine million, one hundred fifty-one thousand, five hundred twenty".