402002567064 has 192 divisors, whose sum is σ = 1298868480000. Its totient is φ = 109903495680.

The previous prime is 402002567053. The next prime is 402002567069. The reversal of 402002567064 is 460765200204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402002567069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245987 + ... + 1535085.

It is an arithmetic number, because the mean of its divisors is an integer number (6764940000).

Almost surely, 2^402002567064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402002567064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649434240000).

402002567064 is an abundant number, since it is smaller than the sum of its proper divisors (896865912936).

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

402002567064 is a wasteful number, since it uses less digits than its factorization.

402002567064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289238 (or 289231 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 402002567064 its reverse (460765200204), we get a palindrome (862767767268).

The spelling of 402002567064 in words is "four hundred two billion, two million, five hundred sixty-seven thousand, sixty-four".