472652107200 has 2352 divisors, whose sum is σ = 2211194821696. Its totient is φ = 96745881600.

The previous prime is 472652107121. The next prime is 472652107223. The reversal of 472652107200 is 2701256274.

It is a happy number.

472652107200 is a `hidden beast` number, since 47 + 26 + 521 + 0 + 72 + 0 + 0 = 666.

It is a super-3 number, since 3×472652107200³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6474686364 + ... + 6474686436.

Almost surely, 2^472652107200 is an apocalyptic number.

472652107200 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 472652107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105597410848).

472652107200 is an abundant number, since it is smaller than the sum of its proper divisors (1738542714496).

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

472652107200 is a wasteful number, since it uses less digits than its factorization.

472652107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 472652107200 in words is "four hundred seventy-two billion, six hundred fifty-two million, one hundred seven thousand, two hundred".