507784017346560 has 1152 divisors, whose sum is σ = 1835769393561600. Its totient is φ = 134814741037056.

The previous prime is 507784017346471. The next prime is 507784017346579. The reversal of 507784017346560 is 65643710487705.

507784017346560 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 8 + 40 + 1 + 73 + 465 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×507784017346560² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397016432001 + ... + 397016433279.

It is an arithmetic number, because the mean of its divisors is an integer number (1593549820800).

Almost surely, 2^{507784017346560} 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 507784017346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917884696780800).

507784017346560 is an abundant number, since it is smaller than the sum of its proper divisors (1327985376215040).

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

507784017346560 is an frugal number, since it uses more digits than its factorization.

507784017346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 507784017346560 in words is "five hundred seven trillion, seven hundred eighty-four billion, seventeen million, three hundred forty-six thousand, five hundred sixty".