507975021840 has 480 divisors, whose sum is σ = 1873800069120. Its totient is φ = 112841164800.

The previous prime is 507975021803. The next prime is 507975021857. The reversal of 507975021840 is 48120579705.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 507975021840.

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 95 ways as a sum of consecutive naturals, for example, 62012145 + ... + 62020335.

It is an arithmetic number, because the mean of its divisors is an integer number (3903750144).

Almost surely, 2^507975021840 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 507975021840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936900034560).

507975021840 is an abundant number, since it is smaller than the sum of its proper divisors (1365825047280).

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

507975021840 is a wasteful number, since it uses less digits than its factorization.

507975021840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 507975021840 in words is "five hundred seven billion, nine hundred seventy-five million, twenty-one thousand, eight hundred forty".