4560961020 has 384 divisors, whose sum is σ = 16907304960. Its totient is φ = 889989120.

The previous prime is 4560960979. The next prime is 4560961021. The reversal of 4560961020 is 201690654.

It is a super-3 number, since 3×4560961020³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560961021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19574824 + ... + 19575056.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^4560961020 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 4560961020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453652480).

4560961020 is an abundant number, since it is smaller than the sum of its proper divisors (12346343940).

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

4560961020 is a wasteful number, since it uses less digits than its factorization.

4560961020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4560961020 is about 67534.8874286468. The cubic root of 4560961020 is about 1658.3853535752.

The spelling of 4560961020 in words is "four billion, five hundred sixty million, nine hundred sixty-one thousand, twenty".