768034471936 has 152 divisors (see below), whose sum is σ = 1656788862960. Its totient is φ = 354838118400.

The previous prime is 768034471913. The next prime is 768034471937. The reversal of 768034471936 is 639174430867.

It is a tau number, because it is divible by the number of its divisors (152).

It is not an unprimeable number, because it can be changed into a prime (768034471937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204208296 + ... + 204212056.

It is an arithmetic number, because the mean of its divisors is an integer number (10899926730).

Almost surely, 2^768034471936 is an apocalyptic number.

768034471936 is a gapful number since it is divisible by the number (76) 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 768034471936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828394431480).

768034471936 is an abundant number, since it is smaller than the sum of its proper divisors (888754391024).

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

768034471936 is an frugal number, since it uses more digits than its factorization.

768034471936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 768034471936 in words is "seven hundred sixty-eight billion, thirty-four million, four hundred seventy-one thousand, nine hundred thirty-six".