667901959956 has 576 divisors, whose sum is σ = 2240715052800. Its totient is φ = 170098790400.

The previous prime is 667901959913. The next prime is 667901960009. The reversal of 667901959956 is 659959109766.

It is a super-2 number, since 2×667901959956² (a number of 24 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 191 ways as a sum of consecutive naturals, for example, 709778446 + ... + 709779386.

It is an arithmetic number, because the mean of its divisors is an integer number (3890130300).

Almost surely, 2^667901959956 is an apocalyptic number.

667901959956 is a gapful number since it is divisible by the number (66) 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 667901959956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120357526400).

667901959956 is an abundant number, since it is smaller than the sum of its proper divisors (1572813092844).

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

667901959956 is a wasteful number, since it uses less digits than its factorization.

667901959956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 248005800, while the sum is 72.

The spelling of 667901959956 in words is "six hundred sixty-seven billion, nine hundred one million, nine hundred fifty-nine thousand, nine hundred fifty-six".