3615511745664 has 1024 divisors, whose sum is σ = 13818470400000. Its totient is φ = 904921694208.

The previous prime is 3615511745617. The next prime is 3615511745689. The reversal of 3615511745664 is 4665471155163.

3615511745664 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 5 + 1 + 1 + 74 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3615511745664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 538099297 + ... + 538106015.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600000).

Almost surely, 2^{3615511745664} 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 3615511745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909235200000).

3615511745664 is an abundant number, since it is smaller than the sum of its proper divisors (10202958654336).

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

3615511745664 is a wasteful number, since it uses less digits than its factorization.

3615511745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 6832 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 3615511745664 in words is "three trillion, six hundred fifteen billion, five hundred eleven million, seven hundred forty-five thousand, six hundred sixty-four".