642467440800 has 360 divisors, whose sum is σ = 2480778899676. Its totient is φ = 161246453760.

The previous prime is 642467440787. The next prime is 642467440801. The reversal of 642467440800 is 8044764246.

It can be written as a sum of positive squares in 6 ways, for example, as 489927202704 + 152540238096 = 699948^2 + 390564^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (642467440801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 809994 + ... + 1393206.

Almost surely, 2^642467440800 is an apocalyptic number.

642467440800 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 642467440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240389449838).

642467440800 is an abundant number, since it is smaller than the sum of its proper divisors (1838311458876).

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

642467440800 is a wasteful number, since it uses less digits than its factorization.

642467440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583262 (or 583240 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 642467440800 in words is "six hundred forty-two billion, four hundred sixty-seven million, four hundred forty thousand, eight hundred".