620478144000 has 2560 divisors, whose sum is σ = 2814059888640. Its totient is φ = 134369280000.

The previous prime is 620478143981. The next prime is 620478144017. The reversal of 620478144000 is 441874026.

620478144000 is a `hidden beast` number, since 6 + 204 + 7 + 8 + 1 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 20015423985 + ... + 20015424015.

It is an arithmetic number, because the mean of its divisors is an integer number (1099242144).

Almost surely, 2^620478144000 is an apocalyptic number.

620478144000 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 620478144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407029944320).

620478144000 is an abundant number, since it is smaller than the sum of its proper divisors (2193581744640).

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

620478144000 is an equidigital number, since it uses as much as digits as its factorization.

620478144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 620478144000 in words is "six hundred twenty billion, four hundred seventy-eight million, one hundred forty-four thousand".