3681763787520 has 2160 divisors, whose sum is σ = 16689935975328. Its totient is φ = 768074711040.

The previous prime is 3681763787519. The next prime is 3681763787561. The reversal of 3681763787520 is 257873671863.

3681763787520 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 76 + 37 + 8 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7066724860 + ... + 7066725380.

Almost surely, 2^{3681763787520} is an apocalyptic number.

3681763787520 is a gapful number since it is divisible by the number (30) 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 3681763787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344967987664).

3681763787520 is an abundant number, since it is smaller than the sum of its proper divisors (13008172187808).

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

3681763787520 is a wasteful number, since it uses less digits than its factorization.

3681763787520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 3681763787520 in words is "three trillion, six hundred eighty-one billion, seven hundred sixty-three million, seven hundred eighty-seven thousand, five hundred twenty".