76240209982464 has 2816 divisors, whose sum is σ = 283882807296000. Its totient is φ = 19926466560000.

The previous prime is 76240209982459. The next prime is 76240209982499. The reversal of 76240209982464 is 46428990204267.

76240209982464 is a `hidden beast` number, since 7 + 6 + 2 + 4 + 0 + 2 + 0 + 99 + 82 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×76240209982464² (a number of 29 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 504902052789 + ... + 504902052939.

It is an arithmetic number, because the mean of its divisors is an integer number (100810656000).

Almost surely, 2^{76240209982464} 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 76240209982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141941403648000).

76240209982464 is an abundant number, since it is smaller than the sum of its proper divisors (207642597313536).

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

76240209982464 is a wasteful number, since it uses less digits than its factorization.

76240209982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 76240209982464 in words is "seventy-six trillion, two hundred forty billion, two hundred nine million, nine hundred eighty-two thousand, four hundred sixty-four".