768190832640 has 2240 divisors, whose sum is σ = 3580777525248. Its totient is φ = 152882380800.

The previous prime is 768190832639. The next prime is 768190832641. The reversal of 768190832640 is 46238091867.

It is an interprime number because it is at equal distance from previous prime (768190832639) and next prime (768190832641).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768190832641) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 7919493072 + ... + 7919493168.

Almost surely, 2^768190832640 is an apocalyptic number.

768190832640 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 768190832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790388762624).

768190832640 is an abundant number, since it is smaller than the sum of its proper divisors (2812586692608).

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

768190832640 is a wasteful number, since it uses less digits than its factorization.

768190832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 768190832640 in words is "seven hundred sixty-eight billion, one hundred ninety million, eight hundred thirty-two thousand, six hundred forty".