667557046464 has 336 divisors, whose sum is σ = 2222477241600. Its totient is φ = 173100533760.

The previous prime is 667557046459. The next prime is 667557046477. The reversal of 667557046464 is 464640755766.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 667557046398 and 667557046407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107166102 + ... + 107172330.

It is an arithmetic number, because the mean of its divisors is an integer number (6614515600).

Almost surely, 2^667557046464 is an apocalyptic number.

667557046464 is a gapful number since it is divisible by the number (64) 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 667557046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111238620800).

667557046464 is an abundant number, since it is smaller than the sum of its proper divisors (1554920195136).

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

667557046464 is a wasteful number, since it uses less digits than its factorization.

667557046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 667557046464 in words is "six hundred sixty-seven billion, five hundred fifty-seven million, forty-six thousand, four hundred sixty-four".