642066462240 has 192 divisors, whose sum is σ = 2316040667136. Its totient is φ = 146465897472.

The previous prime is 642066462229. The next prime is 642066462241. The reversal of 642066462240 is 42264660246.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 642066462192 and 642066462201.

It is not an unprimeable number, because it can be changed into a prime (642066462241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500129 + ... + 1880031.

It is an arithmetic number, because the mean of its divisors is an integer number (12062711808).

Almost surely, 2^642066462240 is an apocalyptic number.

642066462240 is a gapful number since it is divisible by the number (60) 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 642066462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158020333568).

642066462240 is an abundant number, since it is smaller than the sum of its proper divisors (1673974204896).

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

642066462240 is a wasteful number, since it uses less digits than its factorization.

642066462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380431 (or 380423 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 642066462240 in words is "six hundred forty-two billion, sixty-six million, four hundred sixty-two thousand, two hundred forty".