66235070880 has 864 divisors, whose sum is σ = 268221844800. Its totient is φ = 14817116160.

The previous prime is 66235070843. The next prime is 66235070899. The reversal of 66235070880 is 8807053266.

66235070880 is a `hidden beast` number, since 6 + 62 + 3 + 507 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×66235070880² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174762531 + ... + 174762909.

It is an arithmetic number, because the mean of its divisors is an integer number (310441950).

Almost surely, 2^66235070880 is an apocalyptic number.

66235070880 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 66235070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134110922400).

66235070880 is an abundant number, since it is smaller than the sum of its proper divisors (201986773920).

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

66235070880 is a wasteful number, since it uses less digits than its factorization.

66235070880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 66235070880 in words is "sixty-six billion, two hundred thirty-five million, seventy thousand, eight hundred eighty".