642408000 has 448 divisors, whose sum is σ = 2396459520. Its totient is φ = 150528000.

The previous prime is 642407999. The next prime is 642408001. The reversal of 642408000 is 804246.

It is an interprime number because it is at equal distance from previous prime (642407999) and next prime (642408001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (642408001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9047965 + ... + 9048035.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^642408000 is an apocalyptic number.

642408000 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 642408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

642408000 is an abundant number, since it is smaller than the sum of its proper divisors (1754051520).

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

642408000 is a wasteful number, since it uses less digits than its factorization.

642408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 642408000 is about 25345.7688776648. The cubic root of 642408000 is about 862.8533313951.

The spelling of 642408000 in words is "six hundred forty-two million, four hundred eight thousand".