1966686480 has 480 divisors, whose sum is σ = 7926242688. Its totient is φ = 447897600.

The previous prime is 1966686467. The next prime is 1966686511. The reversal of 1966686480 is 846866691.

It is a super-2 number, since 2×1966686480² = 7735711421229580800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3635010 + ... + 3635550.

Almost surely, 2^1966686480 is an apocalyptic number.

1966686480 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 1966686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963121344).

1966686480 is an abundant number, since it is smaller than the sum of its proper divisors (5959556208).

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

1966686480 is a wasteful number, since it uses less digits than its factorization.

1966686480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 1966686480 is about 44347.3390408038. The cubic root of 1966686480 is about 1252.8864453496.

The spelling of 1966686480 in words is "one billion, nine hundred sixty-six million, six hundred eighty-six thousand, four hundred eighty".