642648846276 has 144 divisors (see below), whose sum is σ = 1717808601600. Its totient is φ = 202244480256.

The previous prime is 642648846227. The next prime is 642648846277. The reversal of 642648846276 is 672648846246.

642648846276 is a `hidden beast` number, since 6 + 4 + 26 + 4 + 88 + 462 + 76 = 666.

642648846276 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (642648846277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60004810 + ... + 60015518.

It is an arithmetic number, because the mean of its divisors is an integer number (11929226400).

Almost surely, 2^642648846276 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 642648846276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858904300800).

642648846276 is an abundant number, since it is smaller than the sum of its proper divisors (1075159755324).

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

642648846276 is a wasteful number, since it uses less digits than its factorization.

642648846276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 12013 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 642648846276 in words is "six hundred forty-two billion, six hundred forty-eight million, eight hundred forty-six thousand, two hundred seventy-six".