766916367360 has 704 divisors, whose sum is σ = 2911142916864. Its totient is φ = 169869312000.

The previous prime is 766916367353. The next prime is 766916367361. The reversal of 766916367360 is 63763619667.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 766916367294 and 766916367303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766916367361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221842752 + ... + 221846208.

Almost surely, 2^766916367360 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 766916367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455571458432).

766916367360 is an abundant number, since it is smaller than the sum of its proper divisors (2144226549504).

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

766916367360 is a wasteful number, since it uses less digits than its factorization.

766916367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 60.

The spelling of 766916367360 in words is "seven hundred sixty-six billion, nine hundred sixteen million, three hundred sixty-seven thousand, three hundred sixty".