616796729640 has 480 divisors, whose sum is σ = 2597107007880. Its totient is φ = 130136896512.

The previous prime is 616796729623. The next prime is 616796729651. The reversal of 616796729640 is 46927697616.

616796729640 is a `hidden beast` number, since 616 + 7 + 9 + 6 + 7 + 2 + 9 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 502683836004 + 114112893636 = 709002^2 + 337806^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1914454 + ... + 2213306.

Almost surely, 2^616796729640 is an apocalyptic number.

616796729640 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 616796729640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298553503940).

616796729640 is an abundant number, since it is smaller than the sum of its proper divisors (1980310278240).

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

616796729640 is a wasteful number, since it uses less digits than its factorization.

616796729640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298903 (or 298883 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 616796729640 in words is "six hundred sixteen billion, seven hundred ninety-six million, seven hundred twenty-nine thousand, six hundred forty".