1504973761668 has 72 divisors (see below), whose sum is σ = 4146233040768. Its totient is φ = 457489695168.

The previous prime is 1504973761663. The next prime is 1504973761693. The reversal of 1504973761668 is 8661673794051.

1504973761668 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 9 + 7 + 3 + 7 + 616 + 6 + 8 = 666.

It is a super-2 number, since 2×1504973761668² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1504973761663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19333180 + ... + 19410867.

Almost surely, 2^{1504973761668} is an apocalyptic number.

1504973761668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1504973761668 is an abundant number, since it is smaller than the sum of its proper divisors (2641259279100).

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

1504973761668 is a wasteful number, since it uses less digits than its factorization.

1504973761668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38744153 (or 38744148 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1504973761668 in words is "one trillion, five hundred four billion, nine hundred seventy-three million, seven hundred sixty-one thousand, six hundred sixty-eight".