602142654960 has 480 divisors, whose sum is σ = 2555732994048. Its totient is φ = 123405742080.

The previous prime is 602142654947. The next prime is 602142654961. The reversal of 602142654960 is 69456241206.

602142654960 is a `hidden beast` number, since 6 + 0 + 2 + 1 + 42 + 6 + 549 + 60 = 666.

602142654960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×602142654960³ (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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (602142654961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3972729 + ... + 4121511.

Almost surely, 2^602142654960 is an apocalyptic number.

602142654960 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 602142654960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277866497024).

602142654960 is an abundant number, since it is smaller than the sum of its proper divisors (1953590339088).

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

602142654960 is a wasteful number, since it uses less digits than its factorization.

602142654960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148893 (or 148884 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 602142654960 in words is "six hundred two billion, one hundred forty-two million, six hundred fifty-four thousand, nine hundred sixty".