66257230646880 has 1536 divisors, whose sum is σ = 298047336652800. Its totient is φ = 13361768792064.

The previous prime is 66257230646879. The next prime is 66257230646891. The reversal of 66257230646880 is 8864603275266.

It is a happy number.

66257230646880 is a `hidden beast` number, since 6 + 6 + 25 + 72 + 3 + 0 + 6 + 468 + 80 = 666.

It is a super-2 number, since 2×66257230646880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21311426766 + ... + 21311429874.

It is an arithmetic number, because the mean of its divisors is an integer number (194041234800).

Almost surely, 2^{66257230646880} is an apocalyptic number.

66257230646880 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 66257230646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149023668326400).

66257230646880 is an abundant number, since it is smaller than the sum of its proper divisors (231790106005920).

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

66257230646880 is a wasteful number, since it uses less digits than its factorization.

66257230646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 66257230646880 in words is "sixty-six trillion, two hundred fifty-seven billion, two hundred thirty million, six hundred forty-six thousand, eight hundred eighty".