642472200900 has 288 divisors, whose sum is σ = 2092367746560. Its totient is φ = 169102080000.

The previous prime is 642472200899. The next prime is 642472200907. The reversal of 642472200900 is 9002274246.

642472200900 is a `hidden beast` number, since 6 + 424 + 7 + 220 + 0 + 9 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (642472200907) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 91896405 + ... + 91903395.

Almost surely, 2^642472200900 is an apocalyptic number.

642472200900 is a gapful number since it is divisible by the number (60) 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 642472200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046183873280).

642472200900 is an abundant number, since it is smaller than the sum of its proper divisors (1449895545660).

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

642472200900 is a wasteful number, since it uses less digits than its factorization.

642472200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 642472200900 in words is "six hundred forty-two billion, four hundred seventy-two million, two hundred thousand, nine hundred".