76673528979840 has 384 divisors, whose sum is σ = 286607095800480. Its totient is φ = 18775690444800.

The previous prime is 76673528979797. The next prime is 76673528979857. The reversal of 76673528979840 is 4897982537667.

It is a happy number.

76673528979840 is a `hidden beast` number, since 7 + 6 + 6 + 7 + 3 + 528 + 9 + 7 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×76673528979840² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76673528979840.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11799115 + ... + 17104565.

Almost surely, 2^{76673528979840} 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 76673528979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143303547900240).

76673528979840 is an abundant number, since it is smaller than the sum of its proper divisors (209933566820640).

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

76673528979840 is a wasteful number, since it uses less digits than its factorization.

76673528979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305682 (or 5305667 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

The spelling of 76673528979840 in words is "seventy-six trillion, six hundred seventy-three billion, five hundred twenty-eight million, nine hundred seventy-nine thousand, eight hundred forty".