66935090880 has 896 divisors, whose sum is σ = 293388288000. Its totient is φ = 14019194880.

The previous prime is 66935090867. The next prime is 66935090891. The reversal of 66935090880 is 8809053966.

66935090880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66935090880² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35621781 + ... + 35623659.

Almost surely, 2^66935090880 is an apocalyptic number.

66935090880 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 66935090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146694144000).

66935090880 is an abundant number, since it is smaller than the sum of its proper divisors (226453197120).

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

66935090880 is a wasteful number, since it uses less digits than its factorization.

66935090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 66935090880 in words is "sixty-six billion, nine hundred thirty-five million, ninety thousand, eight hundred eighty".