1946664720 has 960 divisors, whose sum is σ = 9138415104. Its totient is φ = 358318080.

The previous prime is 1946664691. The next prime is 1946664767. The reversal of 1946664720 is 274666491.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26666604 + ... + 26666676.

Almost surely, 2^1946664720 is an apocalyptic number.

1946664720 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 1946664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569207552).

1946664720 is an abundant number, since it is smaller than the sum of its proper divisors (7191750384).

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

1946664720 is a wasteful number, since it uses less digits than its factorization.

1946664720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1946664720 is about 44121.0235602031. The cubic root of 1946664720 is about 1248.6202846020.

It can be divided in two parts, 1946 and 664720, that added together give a palindrome (666666).

The spelling of 1946664720 in words is "one billion, nine hundred forty-six million, six hundred sixty-four thousand, seven hundred twenty".