667529031960 has 640 divisors, whose sum is σ = 2613644605440. Its totient is φ = 149653785600.

The previous prime is 667529031943. The next prime is 667529031971. The reversal of 667529031960 is 69130925766.

667529031960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 667529031897 and 667529031906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 411799950 + ... + 411801570.

It is an arithmetic number, because the mean of its divisors is an integer number (4083819696).

Almost surely, 2^667529031960 is an apocalyptic number.

667529031960 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 667529031960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306822302720).

667529031960 is an abundant number, since it is smaller than the sum of its proper divisors (1946115573480).

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

667529031960 is a wasteful number, since it uses less digits than its factorization.

667529031960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 667529031960 in words is "six hundred sixty-seven billion, five hundred twenty-nine million, thirty-one thousand, nine hundred sixty".