620509870080 has 672 divisors, whose sum is σ = 2257109880480. Its totient is φ = 163631923200.

The previous prime is 620509870061. The next prime is 620509870087. The reversal of 620509870080 is 80078905026.

620509870080 is a `hidden beast` number, since 62 + 0 + 509 + 8 + 7 + 0 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620509870087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 753960549 + ... + 753961371.

It is an arithmetic number, because the mean of its divisors is an integer number (3358794465).

Almost surely, 2^620509870080 is an apocalyptic number.

620509870080 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 620509870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128554940240).

620509870080 is an abundant number, since it is smaller than the sum of its proper divisors (1636600010400).

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

620509870080 is an equidigital number, since it uses as much as digits as its factorization.

620509870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 620509870080 in words is "six hundred twenty billion, five hundred nine million, eight hundred seventy thousand, eighty".