620193380083200 has 8640 divisors, whose sum is σ = 3049303529226240. Its totient is φ = 118806331392000.

The previous prime is 620193380083163. The next prime is 620193380083247. The reversal of 620193380083200 is 2380083391026.

620193380083200 is a `hidden beast` number, since 6 + 2 + 0 + 193 + 380 + 0 + 83 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4883412441537 + ... + 4883412441663.

It is an arithmetic number, because the mean of its divisors is an integer number (352928649216).

Almost surely, 2^{620193380083200} is an apocalyptic number.

620193380083200 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 620193380083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524651764613120).

620193380083200 is an abundant number, since it is smaller than the sum of its proper divisors (2429110149143040).

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

620193380083200 is a wasteful number, since it uses less digits than its factorization.

620193380083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 620193380083200 in words is "six hundred twenty trillion, one hundred ninety-three billion, three hundred eighty million, eighty-three thousand, two hundred".