66246434544960 has 168 divisors, whose sum is σ = 241263669517416. Its totient is φ = 16626556108800.

The previous prime is 66246434544947. The next prime is 66246434544971. The reversal of 66246434544960 is 6944543464266.

66246434544960 is a `hidden beast` number, since 6 + 6 + 2 + 4 + 64 + 34 + 54 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26952793625664 + 39293640919296 = 5191608^2 + 6268464^2 .

It is a super-2 number, since 2×66246434544960² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676487341 + ... + 676585260.

It is an arithmetic number, because the mean of its divisors is an integer number (1436093270937).

Almost surely, 2^{66246434544960} is an apocalyptic number.

66246434544960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66246434544960 is an abundant number, since it is smaller than the sum of its proper divisors (175017234972456).

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

66246434544960 is a wasteful number, since it uses less digits than its factorization.

66246434544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353072641 (or 1353072628 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 63.

The spelling of 66246434544960 in words is "sixty-six trillion, two hundred forty-six billion, four hundred thirty-four million, five hundred forty-four thousand, nine hundred sixty".