504001486979640 has 1536 divisors, whose sum is σ = 2016967323571200. Its totient is φ = 107768462376960.

The previous prime is 504001486979579. The next prime is 504001486979693. The reversal of 504001486979640 is 46979684100405.

504001486979640 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 0 + 1 + 486 + 97 + 9 + 64 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 25805196675 + ... + 25805216205.

It is an arithmetic number, because the mean of its divisors is an integer number (1313129767950).

Almost surely, 2^{504001486979640} 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 504001486979640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008483661785600).

504001486979640 is an abundant number, since it is smaller than the sum of its proper divisors (1512965836591560).

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

504001486979640 is a wasteful number, since it uses less digits than its factorization.

504001486979640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20037 (or 20030 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 504001486979640 in words is "five hundred four trillion, one billion, four hundred eighty-six million, nine hundred seventy-nine thousand, six hundred forty".