769496065416 has 192 divisors, whose sum is σ = 2298582751920. Its totient is φ = 231115161600.

The previous prime is 769496065363. The next prime is 769496065441. The reversal of 769496065416 is 614560694967.

769496065416 is a `hidden beast` number, since 7 + 6 + 9 + 4 + 9 + 606 + 5 + 4 + 16 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53180972100 + 716315093316 = 230610^2 + 846354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6569766 + ... + 6685866.

Almost surely, 2^769496065416 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 769496065416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149291375960).

769496065416 is an abundant number, since it is smaller than the sum of its proper divisors (1529086686504).

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

769496065416 is a wasteful number, since it uses less digits than its factorization.

769496065416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116296 (or 116289 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 769496065416 in words is "seven hundred sixty-nine billion, four hundred ninety-six million, sixty-five thousand, four hundred sixteen".