472551786000 has 1280 divisors, whose sum is σ = 2040250368000. Its totient is φ = 104400576000.

The previous prime is 472551785957. The next prime is 472551786013. The reversal of 472551786000 is 687155274.

472551786000 is a `hidden beast` number, since 4 + 7 + 25 + 5 + 17 + 8 + 600 + 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 255 ways as a sum of consecutive naturals, for example, 574181589 + ... + 574182411.

It is an arithmetic number, because the mean of its divisors is an integer number (1593945600).

Almost surely, 2^472551786000 is an apocalyptic number.

472551786000 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 472551786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020125184000).

472551786000 is an abundant number, since it is smaller than the sum of its proper divisors (1567698582000).

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

472551786000 is a wasteful number, since it uses less digits than its factorization.

472551786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 472551786000 in words is "four hundred seventy-two billion, five hundred fifty-one million, seven hundred eighty-six thousand".