66503400600 has 384 divisors, whose sum is σ = 264773053440. Its totient is φ = 13421168640.

The previous prime is 66503400589. The next prime is 66503400617. The reversal of 66503400600 is 600430566.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1229322 + ... + 1282278.

It is an arithmetic number, because the mean of its divisors is an integer number (689513160).

Almost surely, 2^66503400600 is an apocalyptic number.

66503400600 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 66503400600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132386526720).

66503400600 is an abundant number, since it is smaller than the sum of its proper divisors (198269652840).

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

66503400600 is a wasteful number, since it uses less digits than its factorization.

66503400600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53019 (or 53010 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 66503400600 in words is "sixty-six billion, five hundred three million, four hundred thousand, six hundred".