3765742632960 has 2048 divisors, whose sum is σ = 16089775718400. Its totient is φ = 729305579520.

The previous prime is 3765742632907. The next prime is 3765742632979. The reversal of 3765742632960 is 692362475673.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3765742632894 and 3765742632903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51585515484 + ... + 51585515556.

It is an arithmetic number, because the mean of its divisors is an integer number (7856335800).

Almost surely, 2^{3765742632960} is an apocalyptic number.

3765742632960 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 3765742632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044887859200).

3765742632960 is an abundant number, since it is smaller than the sum of its proper divisors (12324033085440).

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

3765742632960 is a wasteful number, since it uses less digits than its factorization.

3765742632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 60.

The spelling of 3765742632960 in words is "three trillion, seven hundred sixty-five billion, seven hundred forty-two million, six hundred thirty-two thousand, nine hundred sixty".