1504066968864 has 48 divisors (see below), whose sum is σ = 4386861995040. Its totient is φ = 501355656000.

The previous prime is 1504066968857. The next prime is 1504066968907. The reversal of 1504066968864 is 4688696604051.

1504066968864 is a `hidden beast` number, since 1 + 5 + 0 + 406 + 6 + 96 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870408262 + ... + 870409989.

It is an arithmetic number, because the mean of its divisors is an integer number (91392958230).

Almost surely, 2^{1504066968864} is an apocalyptic number.

It is an amenable number.

1504066968864 is an abundant number, since it is smaller than the sum of its proper divisors (2882795026176).

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

1504066968864 is a wasteful number, since it uses less digits than its factorization.

1504066968864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740818270 (or 1740818256 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 1504066968864 in words is "one trillion, five hundred four billion, sixty-six million, nine hundred sixty-eight thousand, eight hundred sixty-four".