472649130000 has 1200 divisors, whose sum is σ = 1876371868800. Its totient is φ = 110315520000.

The previous prime is 472649129963. The next prime is 472649130053. The reversal of 472649130000 is 31946274.

472649130000 is a `hidden beast` number, since 4 + 7 + 2 + 649 + 1 + 3 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 2063969886 + ... + 2063970114.

It is an arithmetic number, because the mean of its divisors is an integer number (1563643224).

Almost surely, 2^472649130000 is an apocalyptic number.

472649130000 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 472649130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938185934400).

472649130000 is an abundant number, since it is smaller than the sum of its proper divisors (1403722738800).

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

472649130000 is a wasteful number, since it uses less digits than its factorization.

472649130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 472649130000 in words is "four hundred seventy-two billion, six hundred forty-nine million, one hundred thirty thousand".