77432688419328 has 400 divisors, whose sum is σ = 260259916942080. Its totient is φ = 22707529113600.

The previous prime is 77432688419291. The next prime is 77432688419363. The reversal of 77432688419328 is 82391488623477.

77432688419328 is a `hidden beast` number, since 7 + 7 + 432 + 6 + 8 + 84 + 1 + 93 + 28 = 666.

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

It is an unprimeable number.

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, 11404258 + ... + 16879646.

Almost surely, 2^{77432688419328} 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 77432688419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130129958471040).

77432688419328 is an abundant number, since it is smaller than the sum of its proper divisors (182827228522752).

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

77432688419328 is a wasteful number, since it uses less digits than its factorization.

77432688419328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475461 (or 5475436 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 77432688419328 in words is "seventy-seven trillion, four hundred thirty-two billion, six hundred eighty-eight million, four hundred nineteen thousand, three hundred twenty-eight".