1466851680 has 960 divisors, whose sum is σ = 6674088960. Its totient is φ = 295612416.

The previous prime is 1466851669. The next prime is 1466851721. The reversal of 1466851680 is 861586641.

It is a super-2 number, since 2×1466851680² = 4303307702237644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 39644622 + ... + 39644658.

It is an arithmetic number, because the mean of its divisors is an integer number (6952176).

Almost surely, 2^1466851680 is an apocalyptic number.

1466851680 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 1466851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337044480).

1466851680 is an abundant number, since it is smaller than the sum of its proper divisors (5207237280).

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

1466851680 is a wasteful number, since it uses less digits than its factorization.

1466851680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1466851680 is about 38299.4997356362. The cubic root of 1466851680 is about 1136.2190528447.

The spelling of 1466851680 in words is "one billion, four hundred sixty-six million, eight hundred fifty-one thousand, six hundred eighty".