642608019648 has 448 divisors, whose sum is σ = 2329200645120. Its totient is φ = 169538863104.

The previous prime is 642608019637. The next prime is 642608019659. The reversal of 642608019648 is 846910806246.

It is an interprime number because it is at equal distance from previous prime (642608019637) and next prime (642608019659).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 642608019594 and 642608019603.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10869015 + ... + 10927977.

Almost surely, 2^642608019648 is an apocalyptic number.

642608019648 is a gapful number since it is divisible by the number (68) 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 642608019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164600322560).

642608019648 is an abundant number, since it is smaller than the sum of its proper divisors (1686592625472).

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

642608019648 is a wasteful number, since it uses less digits than its factorization.

642608019648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59061 (or 59045 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 642608019648 in words is "six hundred forty-two billion, six hundred eight million, nineteen thousand, six hundred forty-eight".