66280540032 has 896 divisors, whose sum is σ = 246589194240. Its totient is φ = 17306763264.

The previous prime is 66280540013. The next prime is 66280540061. The reversal of 66280540032 is 23004508266.

66280540032 is a `hidden beast` number, since 6 + 6 + 2 + 80 + 540 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×66280540032² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 521893953 + ... + 521894079.

Almost surely, 2^66280540032 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 66280540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123294597120).

66280540032 is an abundant number, since it is smaller than the sum of its proper divisors (180308654208).

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

66280540032 is a wasteful number, since it uses less digits than its factorization.

66280540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 66280540032 in words is "sixty-six billion, two hundred eighty million, five hundred forty thousand, thirty-two".