1681486672320 has 1512 divisors, whose sum is σ = 7443290578464. Its totient is φ = 354251169792.

The previous prime is 1681486672303. The next prime is 1681486672351. The reversal of 1681486672320 is 232766841861.

It is a happy number.

1681486672320 is a `hidden beast` number, since 1 + 6 + 81 + 486 + 67 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2483731822 + ... + 2483732498.

Almost surely, 2^{1681486672320} is an apocalyptic number.

1681486672320 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 1681486672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721645289232).

1681486672320 is an abundant number, since it is smaller than the sum of its proper divisors (5761803906144).

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

1681486672320 is an frugal number, since it uses more digits than its factorization.

1681486672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1681486672320 in words is "one trillion, six hundred eighty-one billion, four hundred eighty-six million, six hundred seventy-two thousand, three hundred twenty".