4651064732160 has 960 divisors, whose sum is σ = 21139766968320. Its totient is φ = 915582320640.

The previous prime is 4651064732059. The next prime is 4651064732261. The reversal of 4651064732160 is 612374601564.

4651064732160 is a `hidden beast` number, since 4 + 6 + 5 + 10 + 6 + 473 + 2 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (4651064732059) and next prime (4651064732261).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33638529 + ... + 33776511.

It is an arithmetic number, because the mean of its divisors is an integer number (22020590592).

Almost surely, 2^{4651064732160} is an apocalyptic number.

4651064732160 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 4651064732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569883484160).

4651064732160 is an abundant number, since it is smaller than the sum of its proper divisors (16488702236160).

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

4651064732160 is a wasteful number, since it uses less digits than its factorization.

4651064732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138049 (or 138030 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4651064732160 in words is "four trillion, six hundred fifty-one billion, sixty-four million, seven hundred thirty-two thousand, one hundred sixty".