642644606352 has 120 divisors (see below), whose sum is σ = 1934440920000. Its totient is φ = 183305810688.

The previous prime is 642644606339. The next prime is 642644606353. The reversal of 642644606352 is 253606446246.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (642644606353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180774 + ... + 1636922.

It is an arithmetic number, because the mean of its divisors is an integer number (16120341000).

Almost surely, 2^642644606352 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 642644606352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967220460000).

642644606352 is an abundant number, since it is smaller than the sum of its proper divisors (1291796313648).

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

642644606352 is a wasteful number, since it uses less digits than its factorization.

642644606352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456773 (or 456760 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 642644606352 in words is "six hundred forty-two billion, six hundred forty-four million, six hundred six thousand, three hundred fifty-two".