619838720640 has 384 divisors, whose sum is σ = 2325723379200. Its totient is φ = 151538688000.

The previous prime is 619838720549. The next prime is 619838720647. The reversal of 619838720640 is 46027838916.

619838720640 is a `hidden beast` number, since 6 + 19 + 8 + 387 + 206 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (619838720647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3301290 + ... + 3483990.

It is an arithmetic number, because the mean of its divisors is an integer number (6056571300).

Almost surely, 2^619838720640 is an apocalyptic number.

619838720640 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 619838720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162861689600).

619838720640 is an abundant number, since it is smaller than the sum of its proper divisors (1705884658560).

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

619838720640 is a wasteful number, since it uses less digits than its factorization.

619838720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182776 (or 182761 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 619838720640 in words is "six hundred nineteen billion, eight hundred thirty-eight million, seven hundred twenty thousand, six hundred forty".