616736772288 has 672 divisors, whose sum is σ = 2342938590720. Its totient is φ = 150480322560.

The previous prime is 616736772287. The next prime is 616736772329. The reversal of 616736772288 is 882277637616.

616736772288 is a `hidden beast` number, since 616 + 7 + 3 + 6 + 7 + 7 + 2 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (616736772283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52567383 + ... + 52579113.

It is an arithmetic number, because the mean of its divisors is an integer number (3486515760).

Almost surely, 2^616736772288 is an apocalyptic number.

616736772288 is a gapful number since it is divisible by the number (68) 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 616736772288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171469295360).

616736772288 is an abundant number, since it is smaller than the sum of its proper divisors (1726201818432).

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

616736772288 is a wasteful number, since it uses less digits than its factorization.

616736772288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11845 (or 11832 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 616736772288 in words is "six hundred sixteen billion, seven hundred thirty-six million, seven hundred seventy-two thousand, two hundred eighty-eight".