507549680640 has 440 divisors, whose sum is σ = 1849686886080. Its totient is φ = 133046157312.

The previous prime is 507549680597. The next prime is 507549680641. The reversal of 507549680640 is 46086945705.

507549680640 is a `hidden beast` number, since 5 + 0 + 75 + 496 + 80 + 6 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (507549680641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24458109 + ... + 24478851.

It is an arithmetic number, because the mean of its divisors is an integer number (4203833832).

Almost surely, 2^507549680640 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 507549680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924843443040).

507549680640 is an abundant number, since it is smaller than the sum of its proper divisors (1342137205440).

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

507549680640 is a wasteful number, since it uses less digits than its factorization.

507549680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839 (or 20812 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 507549680640 in words is "five hundred seven billion, five hundred forty-nine million, six hundred eighty thousand, six hundred forty".