66377711400 has 1536 divisors, whose sum is σ = 296381030400. Its totient is φ = 11844403200.

The previous prime is 66377711333. The next prime is 66377711417. The reversal of 66377711400 is 411777366.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 644443749 + ... + 644443851.

It is an arithmetic number, because the mean of its divisors is an integer number (192956400).

Almost surely, 2^66377711400 is an apocalyptic number.

66377711400 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 66377711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148190515200).

66377711400 is an abundant number, since it is smaller than the sum of its proper divisors (230003319000).

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

66377711400 is a wasteful number, since it uses less digits than its factorization.

66377711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

It can be divided in two parts, 66377 and 711400, that added together give a palindrome (777777).

The spelling of 66377711400 in words is "sixty-six billion, three hundred seventy-seven million, seven hundred eleven thousand, four hundred".