4633028262720 has 448 divisors, whose sum is σ = 19201693351680. Its totient is φ = 1036761292800.

The previous prime is 4633028262713. The next prime is 4633028262739. The reversal of 4633028262720 is 272628203364.

4633028262720 is a `hidden beast` number, since 4 + 6 + 330 + 28 + 26 + 272 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639411 + ... + 3110450.

It is an arithmetic number, because the mean of its divisors is an integer number (42860922660).

Almost surely, 2^{4633028262720} is an apocalyptic number.

4633028262720 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 4633028262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600846675840).

4633028262720 is an abundant number, since it is smaller than the sum of its proper divisors (14568665088960).

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

4633028262720 is a wasteful number, since it uses less digits than its factorization.

4633028262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749911 (or 3749895 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

It can be divided in two parts, 46330 and 28262720, that added together give a triangular number (28309050 = T₇₅₂₄).

The spelling of 4633028262720 in words is "four trillion, six hundred thirty-three billion, twenty-eight million, two hundred sixty-two thousand, seven hundred twenty".