642006908928 has 1280 divisors, whose sum is σ = 2576977920000. Its totient is φ = 152882380800.

The previous prime is 642006908911. The next prime is 642006908993. The reversal of 642006908928 is 829809600246.

It is a happy number.

It is a super-2 number, since 2×642006908928² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 20709900273 + ... + 20709900303.

It is an arithmetic number, because the mean of its divisors is an integer number (2013264000).

Almost surely, 2^642006908928 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 642006908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288488960000).

642006908928 is an abundant number, since it is smaller than the sum of its proper divisors (1934971011072).

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

642006908928 is an equidigital number, since it uses as much as digits as its factorization.

642006908928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 642006908928 in words is "six hundred forty-two billion, six million, nine hundred eight thousand, nine hundred twenty-eight".