1681007500620 has 768 divisors, whose sum is σ = 6434472038400. Its totient is φ = 360277632000.

The previous prime is 1681007500619. The next prime is 1681007500637. The reversal of 1681007500620 is 260057001861.

1681007500620 is a `hidden beast` number, since 16 + 8 + 10 + 0 + 7 + 5 + 0 + 0 + 620 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 587557990 + ... + 587560850.

It is an arithmetic number, because the mean of its divisors is an integer number (8378218800).

Almost surely, 2^{1681007500620} is an apocalyptic number.

1681007500620 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 1681007500620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217236019200).

1681007500620 is an abundant number, since it is smaller than the sum of its proper divisors (4753464537780).

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

1681007500620 is a wasteful number, since it uses less digits than its factorization.

1681007500620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1681007500620 in words is "one trillion, six hundred eighty-one billion, seven million, five hundred thousand, six hundred twenty".