616271265792 has 990 divisors, whose sum is σ = 2316012649818. Its totient is φ = 162533081088.

The previous prime is 616271265791. The next prime is 616271265817. The reversal of 616271265792 is 297562172616.

It is a happy number.

616271265792 is a `hidden beast` number, since 6 + 1 + 62 + 7 + 1 + 2 + 6 + 579 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426649337856 + 189621927936 = 653184^2 + 435456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616271265791) by changing a digit.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 47405481978 + ... + 47405481990.

Almost surely, 2^616271265792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616271265792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158006324909).

616271265792 is an abundant number, since it is smaller than the sum of its proper divisors (1699741384026).

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

616271265792 is an frugal number, since it uses more digits than its factorization.

616271265792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 616271265792 in words is "six hundred sixteen billion, two hundred seventy-one million, two hundred sixty-five thousand, seven hundred ninety-two".