507342996720 has 640 divisors, whose sum is σ = 2066161090560. Its totient is φ = 111974400000.

The previous prime is 507342996707. The next prime is 507342996739. The reversal of 507342996720 is 27699243705.

507342996720 is a `hidden beast` number, since 507 + 3 + 4 + 29 + 96 + 7 + 20 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281699820 + ... + 281701620.

It is an arithmetic number, because the mean of its divisors is an integer number (3228376704).

Almost surely, 2^507342996720 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 507342996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033080545280).

507342996720 is an abundant number, since it is smaller than the sum of its proper divisors (1558818093840).

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

507342996720 is a wasteful number, since it uses less digits than its factorization.

507342996720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 507342996720 in words is "five hundred seven billion, three hundred forty-two million, nine hundred ninety-six thousand, seven hundred twenty".