66538277124480 has 2048 divisors, whose sum is σ = 298064406528000. Its totient is φ = 13676857786368.

The previous prime is 66538277124439. The next prime is 66538277124541. The reversal of 66538277124480 is 8442177283566.

66538277124480 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 8 + 27 + 7 + 124 + 480 = 666.

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, 5784422409 + ... + 5784433911.

It is an arithmetic number, because the mean of its divisors is an integer number (145539261000).

Almost surely, 2^{66538277124480} is an apocalyptic number.

66538277124480 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 66538277124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149032203264000).

66538277124480 is an abundant number, since it is smaller than the sum of its proper divisors (231526129403520).

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

66538277124480 is a wasteful number, since it uses less digits than its factorization.

66538277124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 66538277124480 in words is "sixty-six trillion, five hundred thirty-eight billion, two hundred seventy-seven million, one hundred twenty-four thousand, four hundred eighty".