768145332024 has 80 divisors (see below), whose sum is σ = 2458877929200. Its totient is φ = 219470093568.

The previous prime is 768145332023. The next prime is 768145332037. The reversal of 768145332024 is 420233541867.

768145332024 is a `hidden beast` number, since 7 + 68 + 14 + 533 + 20 + 24 = 666.

768145332024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×768145332024² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768145332023) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84667569 + ... + 84676640.

It is an arithmetic number, because the mean of its divisors is an integer number (30735974115).

Almost surely, 2^768145332024 is an apocalyptic number.

It is an amenable number.

768145332024 is an abundant number, since it is smaller than the sum of its proper divisors (1690732597176).

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

768145332024 is a wasteful number, since it uses less digits than its factorization.

768145332024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169344234 (or 169344221 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 768145332024 in words is "seven hundred sixty-eight billion, one hundred forty-five million, three hundred thirty-two thousand, twenty-four".