1466273664 has 384 divisors, whose sum is σ = 4811788800. Its totient is φ = 442589184.

The previous prime is 1466273651. The next prime is 1466273729. The reversal of 1466273664 is 4663726641.

It is a happy number.

1466273664 is a `hidden beast` number, since 14 + 6 + 627 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (870912) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

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, 24852067 + ... + 24852125.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^1466273664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1466273664 is an abundant number, since it is smaller than the sum of its proper divisors (3345515136).

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

1466273664 is an equidigital number, since it uses as much as digits as its factorization.

1466273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 1466273664 is about 38291.9529927634. The cubic root of 1466273664 is about 1136.0697900653.

The spelling of 1466273664 in words is "one billion, four hundred sixty-six million, two hundred seventy-three thousand, six hundred sixty-four".