66213100371600 has 2400 divisors, whose sum is σ = 309287664322560. Its totient is φ = 13189091328000.

The previous prime is 66213100371563. The next prime is 66213100371637. The reversal of 66213100371600 is 617300131266.

66213100371600 is a `hidden beast` number, since 6 + 6 + 2 + 1 + 3 + 10 + 0 + 37 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (66213100371563) and next prime (66213100371637).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3747407566 + ... + 3747425234.

Almost surely, 2^{66213100371600} is an apocalyptic number.

66213100371600 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 66213100371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154643832161280).

66213100371600 is an abundant number, since it is smaller than the sum of its proper divisors (243074563950960).

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

66213100371600 is a wasteful number, since it uses less digits than its factorization.

66213100371600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17791 (or 17771 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 66213100371600 in words is "sixty-six trillion, two hundred thirteen billion, one hundred million, three hundred seventy-one thousand, six hundred".