642485760 has 640 divisors, whose sum is σ = 2686970880. Its totient is φ = 127401984.

The previous prime is 642485731. The next prime is 642485783. The reversal of 642485760 is 67584246.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17364462 + ... + 17364498.

It is an arithmetic number, because the mean of its divisors is an integer number (4198392).

Almost surely, 2^642485760 is an apocalyptic number.

642485760 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 642485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343485440).

642485760 is an abundant number, since it is smaller than the sum of its proper divisors (2044485120).

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

642485760 is a wasteful number, since it uses less digits than its factorization.

642485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 642485760 is about 25347.3028150926. The cubic root of 642485760 is about 862.8881445606. Note that the first 3 decimals are identical.

The spelling of 642485760 in words is "six hundred forty-two million, four hundred eighty-five thousand, seven hundred sixty".