768072462976 has 576 divisors, whose sum is σ = 2075832420480. Its totient is φ = 280043495424.

The previous prime is 768072462973. The next prime is 768072463009. The reversal of 768072462976 is 679264270867.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768072462973) 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 71 ways as a sum of consecutive naturals, for example, 1577150605 + ... + 1577151091.

It is an arithmetic number, because the mean of its divisors is an integer number (3603875730).

Almost surely, 2^768072462976 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 768072462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037916210240).

768072462976 is an abundant number, since it is smaller than the sum of its proper divisors (1307759957504).

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

768072462976 is a wasteful number, since it uses less digits than its factorization.

768072462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 64.

The spelling of 768072462976 in words is "seven hundred sixty-eight billion, seventy-two million, four hundred sixty-two thousand, nine hundred seventy-six".