4617629061120 has 832 divisors, whose sum is σ = 17370476774400. Its totient is φ = 1160472821760.

The previous prime is 4617629061109. The next prime is 4617629061127. The reversal of 4617629061120 is 211609267164.

4617629061120 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 6 + 2 + 9 + 0 + 611 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4617629061127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2216815599 + ... + 2216817681.

Almost surely, 2^{4617629061120} is an apocalyptic number.

4617629061120 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 4617629061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685238387200).

4617629061120 is an abundant number, since it is smaller than the sum of its proper divisors (12752847713280).

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

4617629061120 is a wasteful number, since it uses less digits than its factorization.

4617629061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4617629061120 in words is "four trillion, six hundred seventeen billion, six hundred twenty-nine million, sixty-one thousand, one hundred twenty".