621858068640 has 384 divisors, whose sum is σ = 2212321144320. Its totient is φ = 163112361984.

The previous prime is 621858068593. The next prime is 621858068641. The reversal of 621858068640 is 46860858126.

621858068640 is a `hidden beast` number, since 6 + 2 + 18 + 580 + 6 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (621858068641) 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 63 ways as a sum of consecutive naturals, for example, 125195437 + ... + 125200403.

It is an arithmetic number, because the mean of its divisors is an integer number (5761252980).

Almost surely, 2^621858068640 is an apocalyptic number.

621858068640 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 621858068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106160572160).

621858068640 is an abundant number, since it is smaller than the sum of its proper divisors (1590463075680).

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

621858068640 is a wasteful number, since it uses less digits than its factorization.

621858068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 621858068640 in words is "six hundred twenty-one billion, eight hundred fifty-eight million, sixty-eight thousand, six hundred forty".