4642279568640 has 1080 divisors, whose sum is σ = 19367298902952. Its totient is φ = 1058657402880.

The previous prime is 4642279568639. The next prime is 4642279568671. The reversal of 4642279568640 is 468659722464.

It is a happy number.

4642279568640 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 2 + 7 + 9 + 568 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2149991424 + 4640129577216 = 46368^2 + 2154096^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3134556700 + ... + 3134558180.

Almost surely, 2^{4642279568640} is an apocalyptic number.

4642279568640 is a gapful number since it is divisible by the number (40) 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 4642279568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683649451476).

4642279568640 is an abundant number, since it is smaller than the sum of its proper divisors (14725019334312).

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

4642279568640 is a wasteful number, since it uses less digits than its factorization.

4642279568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4642279568640 in words is "four trillion, six hundred forty-two billion, two hundred seventy-nine million, five hundred sixty-eight thousand, six hundred forty".