3763073664 has 96 divisors (see below), whose sum is σ = 12375611040. Its totient is φ = 1075161600.

The previous prime is 3763073647. The next prime is 3763073687. The reversal of 3763073664 is 4663703673.

3763073664 is a `hidden beast` number, since 3 + 7 + 630 + 7 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225262 + ... + 241389.

It is an arithmetic number, because the mean of its divisors is an integer number (128912615).

Almost surely, 2^3763073664 is an apocalyptic number.

It is an amenable number.

3763073664 is an abundant number, since it is smaller than the sum of its proper divisors (8612537376).

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

3763073664 is a wasteful number, since it uses less digits than its factorization.

3763073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466678 (or 466663 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The square root of 3763073664 is about 61343.8967135281. The cubic root of 3763073664 is about 1555.4196217301.

The spelling of 3763073664 in words is "three billion, seven hundred sixty-three million, seventy-three thousand, six hundred sixty-four".