768430390464000 has 2400 divisors, whose sum is σ = 3175383909297600. Its totient is φ = 184560685056000.

The previous prime is 768430390463873. The next prime is 768430390464007. The reversal of 768430390464000 is 464093034867.

768430390464000 is a `hidden beast` number, since 7 + 6 + 84 + 30 + 3 + 90 + 46 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 (768430390464007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 68371770381 + ... + 68371781619.

It is an arithmetic number, because the mean of its divisors is an integer number (1323076628874).

Almost surely, 2^{768430390464000} 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 768430390464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587691954648800).

768430390464000 is an abundant number, since it is smaller than the sum of its proper divisors (2406953518833600).

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

768430390464000 is a wasteful number, since it uses less digits than its factorization.

768430390464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11415 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 768430390464000 in words is "seven hundred sixty-eight trillion, four hundred thirty billion, three hundred ninety million, four hundred sixty-four thousand".