66477801600 has 1536 divisors, whose sum is σ = 298695168000. Its totient is φ = 14287933440.

The previous prime is 66477801583. The next prime is 66477801619. The reversal of 66477801600 is 610877466.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1126742371 + ... + 1126742429.

It is an arithmetic number, because the mean of its divisors is an integer number (194463000).

Almost surely, 2^66477801600 is an apocalyptic number.

66477801600 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 66477801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149347584000).

66477801600 is an abundant number, since it is smaller than the sum of its proper divisors (232217366400).

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

66477801600 is an equidigital number, since it uses as much as digits as its factorization.

66477801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 66477801600 in words is "sixty-six billion, four hundred seventy-seven million, eight hundred one thousand, six hundred".