3664015465824 has 96 divisors (see below), whose sum is σ = 12213384906240. Its totient is φ = 1046861559936.

The previous prime is 3664015465771. The next prime is 3664015465837. The reversal of 3664015465824 is 4285645104663.

3664015465824 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 0 + 1 + 54 + 6 + 582 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302905284 + ... + 302917379.

It is an arithmetic number, because the mean of its divisors is an integer number (127222759440).

Almost surely, 2^{3664015465824} is an apocalyptic number.

It is an amenable number.

3664015465824 is an abundant number, since it is smaller than the sum of its proper divisors (8549369440416).

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

3664015465824 is a wasteful number, since it uses less digits than its factorization.

3664015465824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605822689 (or 605822675 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

It can be divided in two parts, 366401 and 5465824, that added together give a square (5832225 = 2415²).

The spelling of 3664015465824 in words is "three trillion, six hundred sixty-four billion, fifteen million, four hundred sixty-five thousand, eight hundred twenty-four".