4621605206400 has 2880 divisors, whose sum is σ = 22312522219680. Its totient is φ = 931945512960.

The previous prime is 4621605206363. The next prime is 4621605206401. The reversal of 4621605206400 is 46025061264.

4621605206400 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 6 + 0 + 5 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621605206401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3797538592 + ... + 3797539808.

Almost surely, 2^{4621605206400} is an apocalyptic number.

4621605206400 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 4621605206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156261109840).

4621605206400 is an abundant number, since it is smaller than the sum of its proper divisors (17690917013280).

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

4621605206400 is a wasteful number, since it uses less digits than its factorization.

4621605206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4621605206400 in words is "four trillion, six hundred twenty-one billion, six hundred five million, two hundred six thousand, four hundred".