76654911168 has 280 divisors, whose sum is σ = 251961511824. Its totient is φ = 22846924800.

The previous prime is 76654911167. The next prime is 76654911199. The reversal of 76654911168 is 86111945667.

76654911168 is a `hidden beast` number, since 76 + 6 + 549 + 11 + 16 + 8 = 666.

It is a super-2 number, since 2×76654911168² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76654911167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3467446 + ... + 3489482.

Almost surely, 2^76654911168 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 76654911168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125980755912).

76654911168 is an abundant number, since it is smaller than the sum of its proper divisors (175306600656).

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

76654911168 is a wasteful number, since it uses less digits than its factorization.

76654911168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22133 (or 22114 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 76654911168 in words is "seventy-six billion, six hundred fifty-four million, nine hundred eleven thousand, one hundred sixty-eight".