507398156640 has 768 divisors, whose sum is σ = 1883075040000. Its totient is φ = 127417909248.

The previous prime is 507398156621. The next prime is 507398156651. The reversal of 507398156640 is 46651893705.

507398156640 is a `hidden beast` number, since 5 + 0 + 7 + 39 + 8 + 1 + 566 + 40 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 996852706 + ... + 996853214.

It is an arithmetic number, because the mean of its divisors is an integer number (2451920625).

Almost surely, 2^507398156640 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 507398156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941537520000).

507398156640 is an abundant number, since it is smaller than the sum of its proper divisors (1375676883360).

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

507398156640 is a wasteful number, since it uses less digits than its factorization.

507398156640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 507398156640 in words is "five hundred seven billion, three hundred ninety-eight million, one hundred fifty-six thousand, six hundred forty".