1966967504640 has 576 divisors, whose sum is σ = 7087203715200. Its totient is φ = 522965237760.

The previous prime is 1966967504629. The next prime is 1966967504657. The reversal of 1966967504640 is 464057696691.

1966967504640 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 9 + 67 + 504 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1966967504640² (a number of 25 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, 1178529726 + ... + 1178531394.

Almost surely, 2^{1966967504640} is an apocalyptic number.

1966967504640 is a gapful number since it is divisible by the number (10) 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 1966967504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543601857600).

1966967504640 is an abundant number, since it is smaller than the sum of its proper divisors (5120236210560).

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

1966967504640 is an frugal number, since it uses more digits than its factorization.

1966967504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1966967504640 in words is "one trillion, nine hundred sixty-six billion, nine hundred sixty-seven million, five hundred four thousand, six hundred forty".