1466724672 has 252 divisors, whose sum is σ = 4999228000. Its totient is φ = 418224384.

The previous prime is 1466724667. The next prime is 1466724673. The reversal of 1466724672 is 2764276641.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466724673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2939079 + ... + 2939577.

Almost surely, 2^1466724672 is an apocalyptic number.

1466724672 is a gapful number since it is divisible by the number (12) 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 1466724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499614000).

1466724672 is an abundant number, since it is smaller than the sum of its proper divisors (3532503328).

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

1466724672 is an frugal number, since it uses more digits than its factorization.

1466724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 511 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 1466724672 is about 38297.8416102004. The cubic root of 1466724672 is about 1136.1862585555.

The spelling of 1466724672 in words is "one billion, four hundred sixty-six million, seven hundred twenty-four thousand, six hundred seventy-two".