4672574899200 has 1584 divisors, whose sum is σ = 19336941939840. Its totient is φ = 1099045601280.

The previous prime is 4672574899193. The next prime is 4672574899229. The reversal of 4672574899200 is 29984752764.

4672574899200 is a `hidden beast` number, since 4 + 67 + 2 + 5 + 7 + 489 + 92 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 4753381909 + ... + 4753382891.

Almost surely, 2^{4672574899200} is an apocalyptic number.

4672574899200 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 4672574899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668470969920).

4672574899200 is an abundant number, since it is smaller than the sum of its proper divisors (14664367040640).

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

4672574899200 is a wasteful number, since it uses less digits than its factorization.

4672574899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 4672574899200 in words is "four trillion, six hundred seventy-two billion, five hundred seventy-four million, eight hundred ninety-nine thousand, two hundred".