667288335697980 has 192 divisors, whose sum is σ = 1886474819174400. Its totient is φ = 176230128672000.

The previous prime is 667288335697927. The next prime is 667288335697999. The reversal of 667288335697980 is 89796533882766.

It is a super-2 number, since 2×667288335697980² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32692573975 + ... + 32692594385.

It is an arithmetic number, because the mean of its divisors is an integer number (9825389683200).

Almost surely, 2^{667288335697980} is an apocalyptic number.

667288335697980 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 667288335697980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943237409587200).

667288335697980 is an abundant number, since it is smaller than the sum of its proper divisors (1219186483476420).

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

667288335697980 is a wasteful number, since it uses less digits than its factorization.

667288335697980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31320 (or 31318 counting only the distinct ones).

The product of its (nonzero) digits is 39504568320, while the sum is 87.

The spelling of 667288335697980 in words is "six hundred sixty-seven trillion, two hundred eighty-eight billion, three hundred thirty-five million, six hundred ninety-seven thousand, nine hundred eighty".