768053651040 has 720 divisors, whose sum is σ = 2953557695088. Its totient is φ = 187873800192.

The previous prime is 768053651003. The next prime is 768053651063. The reversal of 768053651040 is 40156350867.

768053651040 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 536 + 5 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 378910507 + ... + 378912533.

Almost surely, 2^768053651040 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 768053651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476778847544).

768053651040 is an abundant number, since it is smaller than the sum of its proper divisors (2185504044048).

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

768053651040 is a wasteful number, since it uses less digits than its factorization.

768053651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 768053651040 in words is "seven hundred sixty-eight billion, fifty-three million, six hundred fifty-one thousand, forty".