66204103680 has 1408 divisors, whose sum is σ = 294154882560. Its totient is φ = 13872660480.

The previous prime is 66204103639. The next prime is 66204103699. The reversal of 66204103680 is 8630140266.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336061342 + ... + 336061538.

It is an arithmetic number, because the mean of its divisors is an integer number (208916820).

Almost surely, 2^66204103680 is an apocalyptic number.

66204103680 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 66204103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147077441280).

66204103680 is an abundant number, since it is smaller than the sum of its proper divisors (227950778880).

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

66204103680 is a wasteful number, since it uses less digits than its factorization.

66204103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 66204103680 in words is "sixty-six billion, two hundred four million, one hundred three thousand, six hundred eighty".