76338208512 has 576 divisors, whose sum is σ = 251166720000. Its totient is φ = 22762156032.

The previous prime is 76338208511. The next prime is 76338208517. The reversal of 76338208512 is 21580283367.

76338208512 is a `hidden beast` number, since 7 + 633 + 8 + 2 + 0 + 8 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76338208511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383608989 + ... + 383609187.

Almost surely, 2^76338208512 is an apocalyptic number.

76338208512 is a gapful number since it is divisible by the number (72) 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 76338208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125583360000).

76338208512 is an abundant number, since it is smaller than the sum of its proper divisors (174828511488).

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

76338208512 is a wasteful number, since it uses less digits than its factorization.

76338208512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76338208512 in words is "seventy-six billion, three hundred thirty-eight million, two hundred eight thousand, five hundred twelve".