66957087960 has 192 divisors, whose sum is σ = 249134184000. Its totient is φ = 15277621248.

The previous prime is 66957087947. The next prime is 66957087973. The reversal of 66957087960 is 6978075966.

It is an interprime number because it is at equal distance from previous prime (66957087947) and next prime (66957087973).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1431016 + ... + 1477064.

It is an arithmetic number, because the mean of its divisors is an integer number (1297573875).

Almost surely, 2^66957087960 is an apocalyptic number.

66957087960 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 66957087960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124567092000).

66957087960 is an abundant number, since it is smaller than the sum of its proper divisors (182177096040).

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

66957087960 is a wasteful number, since it uses less digits than its factorization.

66957087960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46650 (or 46643 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 66957087960 in words is "sixty-six billion, nine hundred fifty-seven million, eighty-seven thousand, nine hundred sixty".