642720000 has 360 divisors, whose sum is σ = 2324305984. Its totient is φ = 156672000.

The previous prime is 642719989. The next prime is 642720017. The reversal of 642720000 is 27246.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6239949 + ... + 6240051.

Almost surely, 2^642720000 is an apocalyptic number.

642720000 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 642720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162152992).

642720000 is an abundant number, since it is smaller than the sum of its proper divisors (1681585984).

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

642720000 is a wasteful number, since it uses less digits than its factorization.

642720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 642720000 is about 25351.9230039853. The cubic root of 642720000 is about 862.9929968769.

Adding to 642720000 its reverse (27246), we get a palindrome (642747246).

The spelling of 642720000 in words is "six hundred forty-two million, seven hundred twenty thousand".