642096201600 has 1728 divisors, whose sum is σ = 2890169436960. Its totient is φ = 137594142720.

The previous prime is 642096201463. The next prime is 642096201631. The reversal of 642096201600 is 6102690246.

642096201600 is a `hidden beast` number, since 6 + 4 + 20 + 9 + 6 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 215 ways as a sum of consecutive naturals, for example, 2498428672 + ... + 2498428928.

Almost surely, 2^642096201600 is an apocalyptic number.

642096201600 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 642096201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445084718480).

642096201600 is an abundant number, since it is smaller than the sum of its proper divisors (2248073235360).

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

642096201600 is an equidigital number, since it uses as much as digits as its factorization.

642096201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

642096201600 divided by its product of nonzero digits (31104) gives a triangular number (20643525 = T₆₄₂₅).

Adding to 642096201600 its reverse (6102690246), we get a palindrome (648198891846).

The spelling of 642096201600 in words is "six hundred forty-two billion, ninety-six million, two hundred one thousand, six hundred".