642096300 has 144 divisors (see below), whose sum is σ = 1905628032. Its totient is φ = 166886400.

The previous prime is 642096293. The next prime is 642096311. The reversal of 642096300 is 3690246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2664180 + ... + 2664420.

It is an arithmetic number, because the mean of its divisors is an integer number (13233528).

Almost surely, 2^642096300 is an apocalyptic number.

642096300 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 642096300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952814016).

642096300 is an abundant number, since it is smaller than the sum of its proper divisors (1263531732).

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

642096300 is a wasteful number, since it uses less digits than its factorization.

642096300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 642096300 is about 25339.6191763018. The cubic root of 642096300 is about 862.7137550438.

The spelling of 642096300 in words is "six hundred forty-two million, ninety-six thousand, three hundred".