76956838344960 has 864 divisors, whose sum is σ = 285335873851392. Its totient is φ = 17316099440640.

The previous prime is 76956838344851. The next prime is 76956838344961. The reversal of 76956838344960 is 6944383865967.

It is not an unprimeable number, because it can be changed into a prime (76956838344961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105855348117 + ... + 105855348843.

Almost surely, 2^{76956838344960} is an apocalyptic number.

76956838344960 is a gapful number since it is divisible by the number (70) 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 76956838344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142667936925696).

76956838344960 is an abundant number, since it is smaller than the sum of its proper divisors (208379035506432).

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

76956838344960 is an equidigital number, since it uses as much as digits as its factorization.

76956838344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 78.

The spelling of 76956838344960 in words is "seventy-six trillion, nine hundred fifty-six billion, eight hundred thirty-eight million, three hundred forty-four thousand, nine hundred sixty".