66402000 has 480 divisors, whose sum is σ = 289695744. Its totient is φ = 13824000.

The previous prime is 66401957. The next prime is 66402043. The reversal of 66402000 is 20466.

66402000 is a `hidden beast` number, since 6 + 640 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66401957) and next prime (66402043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2141985 + ... + 2142015.

Almost surely, 2^66402000 is an apocalyptic number.

66402000 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 66402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144847872).

66402000 is an abundant number, since it is smaller than the sum of its proper divisors (223293744).

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

66402000 is a wasteful number, since it uses less digits than its factorization.

66402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66402000 is about 8148.7422342347. The cubic root of 66402000 is about 404.9428360106.

Adding to 66402000 its reverse (20466), we get a palindrome (66422466).

The spelling of 66402000 in words is "sixty-six million, four hundred two thousand".