620823139200 has 960 divisors, whose sum is σ = 2608182529920. Its totient is φ = 143943782400.

The previous prime is 620823139199. The next prime is 620823139217. The reversal of 620823139200 is 2931328026.

620823139200 is a `hidden beast` number, since 62 + 0 + 82 + 313 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×620823139200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65572867 + ... + 65582333.

It is an arithmetic number, because the mean of its divisors is an integer number (2716856802).

Almost surely, 2^620823139200 is an apocalyptic number.

620823139200 is a gapful number since it is divisible by the number (60) 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 620823139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304091264960).

620823139200 is an abundant number, since it is smaller than the sum of its proper divisors (1987359390720).

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

620823139200 is a wasteful number, since it uses less digits than its factorization.

620823139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 620823139200 in words is "six hundred twenty billion, eight hundred twenty-three million, one hundred thirty-nine thousand, two hundred".