1662846900480 has 1008 divisors, whose sum is σ = 6379494387840. Its totient is φ = 413857382400.

The previous prime is 1662846900443. The next prime is 1662846900509. The reversal of 1662846900480 is 840096482661.

1662846900480 is a `hidden beast` number, since 1 + 6 + 628 + 4 + 6 + 9 + 0 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1258778220 + ... + 1258779540.

It is an arithmetic number, because the mean of its divisors is an integer number (6328863480).

Almost surely, 2^{1662846900480} is an apocalyptic number.

1662846900480 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 1662846900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189747193920).

1662846900480 is an abundant number, since it is smaller than the sum of its proper divisors (4716647487360).

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

1662846900480 is an equidigital number, since it uses as much as digits as its factorization.

1662846900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1662846900480 in words is "one trillion, six hundred sixty-two billion, eight hundred forty-six million, nine hundred thousand, four hundred eighty".