507463678080 has 640 divisors, whose sum is σ = 1920694129200. Its totient is φ = 127455068160.

The previous prime is 507463678063. The next prime is 507463678123. The reversal of 507463678080 is 80876364705.

507463678080 is a `hidden beast` number, since 507 + 4 + 63 + 6 + 78 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38720794176 + 468742883904 = 196776^2 + 684648^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61633644 + ... + 61641876.

Almost surely, 2^507463678080 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 507463678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960347064600).

507463678080 is an abundant number, since it is smaller than the sum of its proper divisors (1413230451120).

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

507463678080 is a wasteful number, since it uses less digits than its factorization.

507463678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 507463678080 in words is "five hundred seven billion, four hundred sixty-three million, six hundred seventy-eight thousand, eighty".