76326295256640 has 5376 divisors, whose sum is σ = 362344679424000. Its totient is φ = 14980562288640.

The previous prime is 76326295256633. The next prime is 76326295256839. The reversal of 76326295256640 is 4665259262367.

76326295256640 is a `hidden beast` number, since 7 + 6 + 3 + 2 + 6 + 2 + 9 + 525 + 66 + 40 = 666.

It is a super-3 number, since 3×76326295256640³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 283740874426 + ... + 283740874694.

It is an arithmetic number, because the mean of its divisors is an integer number (67400424000).

Almost surely, 2^{76326295256640} 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 76326295256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181172339712000).

76326295256640 is an abundant number, since it is smaller than the sum of its proper divisors (286018384167360).

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

76326295256640 is a wasteful number, since it uses less digits than its factorization.

76326295256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 76326295256640 in words is "seventy-six trillion, three hundred twenty-six billion, two hundred ninety-five million, two hundred fifty-six thousand, six hundred forty".