642128786452032 has 224 divisors, whose sum is σ = 1951882087795200. Its totient is φ = 184256581017600.

The previous prime is 642128786451973. The next prime is 642128786452091. The reversal of 642128786452032 is 230254687821246.

It is an interprime number because it is at equal distance from previous prime (642128786451973) and next prime (642128786452091).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81674407 + ... + 89190617.

Almost surely, 2^{642128786452032} 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 642128786452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975941043897600).

642128786452032 is an abundant number, since it is smaller than the sum of its proper divisors (1309753301343168).

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

642128786452032 is a wasteful number, since it uses less digits than its factorization.

642128786452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518385 (or 7518375 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 642128786452032 in words is "six hundred forty-two trillion, one hundred twenty-eight billion, seven hundred eighty-six million, four hundred fifty-two thousand, thirty-two".