66670237274400 has 2304 divisors, whose sum is σ = 266796923904000. Its totient is φ = 16002485452800.

The previous prime is 66670237274387. The next prime is 66670237274413. The reversal of 66670237274400 is 447273207666.

It is an interprime number because it is at equal distance from previous prime (66670237274387) and next prime (66670237274413).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136899870957 + ... + 136899871443.

It is an arithmetic number, because the mean of its divisors is an integer number (115797276000).

Almost surely, 2^{66670237274400} is an apocalyptic number.

66670237274400 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 66670237274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133398461952000).

66670237274400 is an abundant number, since it is smaller than the sum of its proper divisors (200126686629600).

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

66670237274400 is a wasteful number, since it uses less digits than its factorization.

66670237274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 66670237274400 in words is "sixty-six trillion, six hundred seventy billion, two hundred thirty-seven million, two hundred seventy-four thousand, four hundred".