76081564293336 has 256 divisors, whose sum is σ = 254260131840000. Its totient is φ = 20591941585536.

The previous prime is 76081564293323. The next prime is 76081564293347. The reversal of 76081564293336 is 63339246518067.

76081564293336 is a `hidden beast` number, since 7 + 6 + 0 + 8 + 1 + 5 + 6 + 4 + 293 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406666231 + ... + 406853273.

It is an arithmetic number, because the mean of its divisors is an integer number (993203640000).

It is a 1-persistent number, because it is pandigital, but 2⋅76081564293336 = 152163128586672 is not.

Almost surely, 2^{76081564293336} is an apocalyptic number.

76081564293336 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 76081564293336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127130065920000).

76081564293336 is an abundant number, since it is smaller than the sum of its proper divisors (178178567546664).

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

76081564293336 is a wasteful number, since it uses less digits than its factorization.

76081564293336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201243 (or 201233 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 76081564293336 in words is "seventy-six trillion, eighty-one billion, five hundred sixty-four million, two hundred ninety-three thousand, three hundred thirty-six".