1662448320 has 672 divisors, whose sum is σ = 6828373440. Its totient is φ = 378224640.

The previous prime is 1662448313. The next prime is 1662448321. The reversal of 1662448320 is 238442661.

1662448320 is a `hidden beast` number, since 1 + 6 + 624 + 4 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662448321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40547500 + ... + 40547540.

It is an arithmetic number, because the mean of its divisors is an integer number (10161270).

Almost surely, 2^1662448320 is an apocalyptic number.

1662448320 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 1662448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414186720).

1662448320 is an abundant number, since it is smaller than the sum of its proper divisors (5165925120).

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

1662448320 is a wasteful number, since it uses less digits than its factorization.

1662448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1662448320 is about 40773.1323300038. The cubic root of 1662448320 is about 1184.6299758010.

The spelling of 1662448320 in words is "one billion, six hundred sixty-two million, four hundred forty-eight thousand, three hundred twenty".