3607791461568 has 560 divisors, whose sum is σ = 12716547047424. Its totient is φ = 989652142080.

The previous prime is 3607791461551. The next prime is 3607791461569. The reversal of 3607791461568 is 8651641977063.

3607791461568 is a `hidden beast` number, since 3 + 6 + 0 + 7 + 7 + 9 + 1 + 4 + 61 + 568 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3607791461569) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142853230 + ... + 142878482.

Almost surely, 2^{3607791461568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3607791461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358273523712).

3607791461568 is an abundant number, since it is smaller than the sum of its proper divisors (9108755585856).

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

3607791461568 is a wasteful number, since it uses less digits than its factorization.

3607791461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25442 (or 25423 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3607791461568 in words is "three trillion, six hundred seven billion, seven hundred ninety-one million, four hundred sixty-one thousand, five hundred sixty-eight".