76396264560 has 1440 divisors, whose sum is σ = 353434378752. Its totient is φ = 15136450560.

The previous prime is 76396264543. The next prime is 76396264591. The reversal of 76396264560 is 6546269367.

76396264560 is a `hidden beast` number, since 7 + 6 + 3 + 9 + 626 + 4 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76396264497 and 76396264506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 240997522 + ... + 240997838.

Almost surely, 2^76396264560 is an apocalyptic number.

76396264560 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 76396264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176717189376).

76396264560 is an abundant number, since it is smaller than the sum of its proper divisors (277038114192).

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

76396264560 is a wasteful number, since it uses less digits than its factorization.

76396264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 76396264560 in words is "seventy-six billion, three hundred ninety-six million, two hundred sixty-four thousand, five hundred sixty".