642362400 has 360 divisors, whose sum is σ = 2450093184. Its totient is φ = 163468800.

The previous prime is 642362363. The next prime is 642362401. The reversal of 642362400 is 4263246.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (642362401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490185 + ... + 1490615.

Almost surely, 2^642362400 is an apocalyptic number.

642362400 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 642362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225046592).

642362400 is an abundant number, since it is smaller than the sum of its proper divisors (1807730784).

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

642362400 is a wasteful number, since it uses less digits than its factorization.

642362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 642362400 is about 25344.8693032732. The cubic root of 642362400 is about 862.8329149604.

The spelling of 642362400 in words is "six hundred forty-two million, three hundred sixty-two thousand, four hundred".