3681756754560 has 128 divisors (see below), whose sum is σ = 13039555233600. Its totient is φ = 981801796608.

The previous prime is 3681756754547. The next prime is 3681756754573. The reversal of 3681756754560 is 654576571863.

3681756754560 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 7 + 5 + 67 + 5 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3681756754547) and next prime (3681756754573).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106515034 + ... + 106549593.

Almost surely, 2^{3681756754560} is an apocalyptic number.

3681756754560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3681756754560 is an abundant number, since it is smaller than the sum of its proper divisors (9357798479040).

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

3681756754560 is a wasteful number, since it uses less digits than its factorization.

3681756754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213064655 (or 213064637 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 3681756754560 in words is "three trillion, six hundred eighty-one billion, seven hundred fifty-six million, seven hundred fifty-four thousand, five hundred sixty".