3765947480064 has 576 divisors, whose sum is σ = 13580802144000. Its totient is φ = 976713154560.

The previous prime is 3765947480051. The next prime is 3765947480129. The reversal of 3765947480064 is 4600847495673.

It is a happy number.

3765947480064 is a `hidden beast` number, since 3 + 7 + 6 + 5 + 94 + 7 + 480 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3765947479983 and 3765947480010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219146232 + ... + 1219149320.

It is an arithmetic number, because the mean of its divisors is an integer number (23577781500).

Almost surely, 2^{3765947480064} 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 3765947480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790401072000).

3765947480064 is an abundant number, since it is smaller than the sum of its proper divisors (9814854663936).

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

3765947480064 is a wasteful number, since it uses less digits than its factorization.

3765947480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3765947480064 in words is "three trillion, seven hundred sixty-five billion, nine hundred forty-seven million, four hundred eighty thousand, sixty-four".