769430010496 has 64 divisors (see below), whose sum is σ = 1753381224000. Its totient is φ = 329463207936.

The previous prime is 769430010457. The next prime is 769430010523. The reversal of 769430010496 is 694010034967.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631275 + ... + 1391893.

It is an arithmetic number, because the mean of its divisors is an integer number (27396581625).

Almost surely, 2^769430010496 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 769430010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876690612000).

769430010496 is an abundant number, since it is smaller than the sum of its proper divisors (983951213504).

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

769430010496 is a wasteful number, since it uses less digits than its factorization.

769430010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761769 (or 761757 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 769430010496 in words is "seven hundred sixty-nine billion, four hundred thirty million, ten thousand, four hundred ninety-six".