642498560 has 240 divisors, whose sum is σ = 1811884032. Its totient is φ = 216268800.

The previous prime is 642498557. The next prime is 642498569. The reversal of 642498560 is 65894246.

642498560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642498569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20725745 + ... + 20725775.

Almost surely, 2^642498560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905942016).

642498560 is an abundant number, since it is smaller than the sum of its proper divisors (1169385472).

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

642498560 is a wasteful number, since it uses less digits than its factorization.

642498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 642498560 is about 25347.5553061829. Note that the first 3 decimals coincide. The cubic root of 642498560 is about 862.8938748536.

The spelling of 642498560 in words is "six hundred forty-two million, four hundred ninety-eight thousand, five hundred sixty".