4696567536960 has 336 divisors, whose sum is σ = 17402365103760. Its totient is φ = 1155712942080.

The previous prime is 4696567536953. The next prime is 4696567537001. The reversal of 4696567536960 is 696357656964.

4696567536960 is a `hidden beast` number, since 4 + 6 + 9 + 6 + 567 + 53 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 765611000064 + 3930956536896 = 874992^2 + 1982664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129861280 + ... + 129897440.

It is an arithmetic number, because the mean of its divisors is an integer number (51792753285).

Almost surely, 2^{4696567536960} is an apocalyptic number.

4696567536960 is a gapful number since it is divisible by the number (40) 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 4696567536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701182551880).

4696567536960 is an abundant number, since it is smaller than the sum of its proper divisors (12705797566800).

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

4696567536960 is a wasteful number, since it uses less digits than its factorization.

4696567536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39666 (or 39653 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 72.

The spelling of 4696567536960 in words is "four trillion, six hundred ninety-six billion, five hundred sixty-seven million, five hundred thirty-six thousand, nine hundred sixty".