4621620369600 has 840 divisors, whose sum is σ = 18408007593360. Its totient is φ = 1130583121920.

The previous prime is 4621620369539. The next prime is 4621620369601. The reversal of 4621620369600 is 69630261264.

4621620369600 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 6 + 2 + 0 + 36 + 9 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4621620369601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 274613986 + ... + 274630814.

It is an arithmetic number, because the mean of its divisors is an integer number (21914294754).

Almost surely, 2^{4621620369600} is an apocalyptic number.

4621620369600 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 4621620369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204003796680).

4621620369600 is an abundant number, since it is smaller than the sum of its proper divisors (13786387223760).

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

4621620369600 is a wasteful number, since it uses less digits than its factorization.

4621620369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17039 (or 17015 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

It can be divided in two parts, 4621620 and 369600, that added together give a triangular number (4991220 = T₃₁₅₉).

The spelling of 4621620369600 in words is "four trillion, six hundred twenty-one billion, six hundred twenty million, three hundred sixty-nine thousand, six hundred".