66935255040 has 832 divisors, whose sum is σ = 262321689600. Its totient is φ = 16116350976.

The previous prime is 66935255029. The next prime is 66935255069. The reversal of 66935255040 is 4055253966.

66935255040 is a `hidden beast` number, since 6 + 6 + 9 + 3 + 52 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241643382 + ... + 241643658.

Almost surely, 2^66935255040 is an apocalyptic number.

66935255040 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 66935255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131160844800).

66935255040 is an abundant number, since it is smaller than the sum of its proper divisors (195386434560).

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

66935255040 is a wasteful number, since it uses less digits than its factorization.

66935255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 66935255040 in words is "sixty-six billion, nine hundred thirty-five million, two hundred fifty-five thousand, forty".