769749140160 has 4032 divisors, whose sum is σ = 4009619128320. Its totient is φ = 130945351680.

The previous prime is 769749140159. The next prime is 769749140177. The reversal of 769749140160 is 61041947967.

769749140160 is a `hidden beast` number, since 7 + 6 + 97 + 4 + 91 + 401 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a junction number, because it is equal to n+sod(n) for n = 769749140097 and 769749140106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16377641257 + ... + 16377641303.

Almost surely, 2^769749140160 is an apocalyptic number.

769749140160 is a gapful number since it is divisible by the number (70) 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 769749140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004809564160).

769749140160 is an abundant number, since it is smaller than the sum of its proper divisors (3239869988160).

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

769749140160 is a wasteful number, since it uses less digits than its factorization.

769749140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

It can be divided in two parts, 769749 and 140160, that added together give a palindrome (909909).

The spelling of 769749140160 in words is "seven hundred sixty-nine billion, seven hundred forty-nine million, one hundred forty thousand, one hundred sixty".