1681508795904 has 480 divisors, whose sum is σ = 6042835138560. Its totient is φ = 452162912256.

The previous prime is 1681508795881. The next prime is 1681508795927. The reversal of 1681508795904 is 4095978051861.

1681508795904 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 508 + 79 + 59 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1681508795881) and next prime (1681508795927).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27935889 + ... + 27996015.

It is an arithmetic number, because the mean of its divisors is an integer number (12589239872).

Almost surely, 2^{1681508795904} is an apocalyptic number.

1681508795904 is a gapful number since it is divisible by the number (14) 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 1681508795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021417569280).

1681508795904 is an abundant number, since it is smaller than the sum of its proper divisors (4361326342656).

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

1681508795904 is an equidigital number, since it uses as much as digits as its factorization.

1681508795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60195 (or 60156 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 1681508795904 in words is "one trillion, six hundred eighty-one billion, five hundred eight million, seven hundred ninety-five thousand, nine hundred four".