66662400 has 312 divisors, whose sum is σ = 260015104. Its totient is φ = 14745600.

The previous prime is 66662383. The next prime is 66662417. The reversal of 66662400 is 426666.

It is an interprime number because it is at equal distance from previous prime (66662383) and next prime (66662417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2150385 + ... + 2150415.

Almost surely, 2^66662400 is an apocalyptic number.

66662400 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 66662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130007552).

66662400 is an abundant number, since it is smaller than the sum of its proper divisors (193352704).

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

66662400 is a wasteful number, since it uses less digits than its factorization.

66662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66662400 is about 8164.7045261908. The cubic root of 66662400 is about 405.4714826108.

The spelling of 66662400 in words is "sixty-six million, six hundred sixty-two thousand, four hundred".