506615012640 has 1152 divisors, whose sum is σ = 2045949954048. Its totient is φ = 112916643840.

The previous prime is 506615012621. The next prime is 506615012689. The reversal of 506615012640 is 46210516605.

506615012640 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 1 + 5 + 0 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 506615012595 and 506615012604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1143600259 + ... + 1143600701.

It is an arithmetic number, because the mean of its divisors is an integer number (1775998224).

Almost surely, 2^506615012640 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 506615012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022974977024).

506615012640 is an abundant number, since it is smaller than the sum of its proper divisors (1539334941408).

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

506615012640 is a wasteful number, since it uses less digits than its factorization.

506615012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 506615012640 in words is "five hundred six billion, six hundred fifteen million, twelve thousand, six hundred forty".