4652770536960 has 2560 divisors, whose sum is σ = 20273902387200. Its totient is φ = 882895749120.

The previous prime is 4652770536949. The next prime is 4652770536971. The reversal of 4652770536960 is 696350772564.

It is an interprime number because it is at equal distance from previous prime (4652770536949) and next prime (4652770536971).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4652770536894 and 4652770536903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36635988417 + ... + 36635988543.

It is an arithmetic number, because the mean of its divisors is an integer number (7919493120).

Almost surely, 2^{4652770536960} is an apocalyptic number.

4652770536960 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 4652770536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136951193600).

4652770536960 is an abundant number, since it is smaller than the sum of its proper divisors (15621131850240).

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

4652770536960 is a wasteful number, since it uses less digits than its factorization.

4652770536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 4652770536960 in words is "four trillion, six hundred fifty-two billion, seven hundred seventy million, five hundred thirty-six thousand, nine hundred sixty".