3766873904640 has 3840 divisors, whose sum is σ = 18524071526400. Its totient is φ = 703895961600.

The previous prime is 3766873904617. The next prime is 3766873904707. The reversal of 3766873904640 is 464093786673.

3766873904640 is a `hidden beast` number, since 3 + 7 + 6 + 6 + 87 + 3 + 90 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47681948121 + ... + 47681948199.

It is an arithmetic number, because the mean of its divisors is an integer number (4823976960).

Almost surely, 2^{3766873904640} is an apocalyptic number.

3766873904640 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 3766873904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262035763200).

3766873904640 is an abundant number, since it is smaller than the sum of its proper divisors (14757197621760).

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

3766873904640 is a wasteful number, since it uses less digits than its factorization.

3766873904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 3766873904640 in words is "three trillion, seven hundred sixty-six billion, eight hundred seventy-three million, nine hundred four thousand, six hundred forty".