66531364920 has 192 divisors, whose sum is σ = 227956921920. Its totient is φ = 16795164672.

The previous prime is 66531364903. The next prime is 66531364961. The reversal of 66531364920 is 2946313566.

66531364920 is a `hidden beast` number, since 66 + 531 + 36 + 4 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761742 + ... + 844578.

It is an arithmetic number, because the mean of its divisors is an integer number (1187275635).

Almost surely, 2^66531364920 is an apocalyptic number.

66531364920 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 66531364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113978460960).

66531364920 is an abundant number, since it is smaller than the sum of its proper divisors (161425557000).

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

66531364920 is a wasteful number, since it uses less digits than its factorization.

66531364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82974 (or 82967 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 66531364920 in words is "sixty-six billion, five hundred thirty-one million, three hundred sixty-four thousand, nine hundred twenty".