66400632000 has 672 divisors, whose sum is σ = 250937841024. Its totient is φ = 16727040000.

The previous prime is 66400631981. The next prime is 66400632079. The reversal of 66400632000 is 23600466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167255802 + ... + 167256198.

Almost surely, 2^66400632000 is an apocalyptic number.

66400632000 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 66400632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125468920512).

66400632000 is an abundant number, since it is smaller than the sum of its proper divisors (184537209024).

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

66400632000 is a wasteful number, since it uses less digits than its factorization.

66400632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 66400632000 in words is "sixty-six billion, four hundred million, six hundred thirty-two thousand".