616741776 has 480 divisors, whose sum is σ = 2287853568. Its totient is φ = 156764160.

The previous prime is 616741739. The next prime is 616741777. The reversal of 616741776 is 677147616.

616741776 is a `hidden beast` number, since 6 + 167 + 417 + 76 = 666.

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 (616741777) 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 95 ways as a sum of consecutive naturals, for example, 14342811 + ... + 14342853.

Almost surely, 2^616741776 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 616741776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143926784).

616741776 is an abundant number, since it is smaller than the sum of its proper divisors (1671111792).

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

616741776 is a wasteful number, since it uses less digits than its factorization.

616741776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 616741776 is about 24834.2862993886. The cubic root of 616741776 is about 851.2055677482.

The spelling of 616741776 in words is "six hundred sixteen million, seven hundred forty-one thousand, seven hundred seventy-six".