651556336366080 has 960 divisors, whose sum is σ = 2312687503526400. Its totient is φ = 169485331857408.

The previous prime is 651556336366079. The next prime is 651556336366087. The reversal of 651556336366080 is 80663633655156.

651556336366080 is a `hidden beast` number, since 6 + 5 + 1 + 5 + 563 + 3 + 6 + 3 + 6 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 651556336365999 and 651556336366017.

It is not an unprimeable number, because it can be changed into a prime (651556336366087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83287269049 + ... + 83287276871.

It is an arithmetic number, because the mean of its divisors is an integer number (2409049482840).

Almost surely, 2^{651556336366080} is an apocalyptic number.

651556336366080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 651556336366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156343751763200).

651556336366080 is an abundant number, since it is smaller than the sum of its proper divisors (1661131167160320).

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

651556336366080 is a wasteful number, since it uses less digits than its factorization.

651556336366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481 (or 8462 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 63.

The spelling of 651556336366080 in words is "six hundred fifty-one trillion, five hundred fifty-six billion, three hundred thirty-six million, three hundred sixty-six thousand, eighty".