66371197838400 has 3024 divisors, whose sum is σ = 304322560109568. Its totient is φ = 13590872064000.

The previous prime is 66371197838371. The next prime is 66371197838417. The reversal of 66371197838400 is 483879117366.

66371197838400 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 1 + 197 + 8 + 38 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 75336205960 + ... + 75336206840.

It is an arithmetic number, because the mean of its divisors is an integer number (100635767232).

Almost surely, 2^{66371197838400} is an apocalyptic number.

66371197838400 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 66371197838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152161280054784).

66371197838400 is an abundant number, since it is smaller than the sum of its proper divisors (237951362271168).

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

66371197838400 is a wasteful number, since it uses less digits than its factorization.

66371197838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 66371197838400 in words is "sixty-six trillion, three hundred seventy-one billion, one hundred ninety-seven million, eight hundred thirty-eight thousand, four hundred".