642433738752 has 768 divisors, whose sum is σ = 2141591961600. Its totient is φ = 188953067520.

The previous prime is 642433738711. The next prime is 642433738757. The reversal of 642433738752 is 257837334246.

642433738752 is a `hidden beast` number, since 64 + 2 + 433 + 73 + 87 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×642433738752³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (642433738757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2830104463 + ... + 2830104689.

It is an arithmetic number, because the mean of its divisors is an integer number (2788531200).

Almost surely, 2^642433738752 is an apocalyptic number.

642433738752 is a gapful number since it is divisible by the number (62) 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 642433738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070795980800).

642433738752 is an abundant number, since it is smaller than the sum of its proper divisors (1499158222848).

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

642433738752 is a wasteful number, since it uses less digits than its factorization.

642433738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 642433738752 in words is "six hundred forty-two billion, four hundred thirty-three million, seven hundred thirty-eight thousand, seven hundred fifty-two".