3784263752664 has 192 divisors, whose sum is σ = 10859641228800. Its totient is φ = 1187156017152.

The previous prime is 3784263752653. The next prime is 3784263752671. The reversal of 3784263752664 is 4662573624873.

3784263752664 is a `hidden beast` number, since 3 + 7 + 8 + 42 + 6 + 3 + 7 + 526 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476783704 + ... + 476791640.

It is an arithmetic number, because the mean of its divisors is an integer number (56560631400).

Almost surely, 2^{3784263752664} 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 3784263752664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429820614400).

3784263752664 is an abundant number, since it is smaller than the sum of its proper divisors (7075377476136).

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

3784263752664 is a wasteful number, since it uses less digits than its factorization.

3784263752664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10215 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 63.

The spelling of 3784263752664 in words is "three trillion, seven hundred eighty-four billion, two hundred sixty-three million, seven hundred fifty-two thousand, six hundred sixty-four".