66683409408 has 880 divisors, whose sum is σ = 254233862784. Its totient is φ = 16907304960.

The previous prime is 66683409319. The next prime is 66683409427. The reversal of 66683409408 is 80490438666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338494366 + ... + 338494562.

Almost surely, 2^66683409408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66683409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127116931392).

66683409408 is an abundant number, since it is smaller than the sum of its proper divisors (187550453376).

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

66683409408 is a wasteful number, since it uses less digits than its factorization.

66683409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 66683409408 in words is "sixty-six billion, six hundred eighty-three million, four hundred nine thousand, four hundred eight".