76973180681088 has 896 divisors, whose sum is σ = 240207735600000. Its totient is φ = 24536663617536.

The previous prime is 76973180681077. The next prime is 76973180681167. The reversal of 76973180681088 is 88018608137967.

76973180681088 is a `hidden beast` number, since 76 + 97 + 318 + 0 + 6 + 81 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51349686163 + ... + 51349687661.

It is an arithmetic number, because the mean of its divisors is an integer number (268088990625).

Almost surely, 2^{76973180681088} 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 76973180681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120103867800000).

76973180681088 is an abundant number, since it is smaller than the sum of its proper divisors (163234554918912).

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

76973180681088 is a wasteful number, since it uses less digits than its factorization.

76973180681088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 76973180681088 in words is "seventy-six trillion, nine hundred seventy-three billion, one hundred eighty million, six hundred eighty-one thousand, eighty-eight".