77134482432 has 528 divisors, whose sum is σ = 274170791232. Its totient is φ = 20384317440.

The previous prime is 77134482401. The next prime is 77134482479. The reversal of 77134482432 is 23428443177.

77134482432 is a `hidden beast` number, since 7 + 7 + 134 + 4 + 82 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66898368 + ... + 66899520.

Almost surely, 2^77134482432 is an apocalyptic number.

77134482432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77134482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137085395616).

77134482432 is an abundant number, since it is smaller than the sum of its proper divisors (197036308800).

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

77134482432 is a wasteful number, since it uses less digits than its factorization.

77134482432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1243 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

It can be divided in two parts, 771344 and 82432, that added together give a square (853776 = 924²).

The spelling of 77134482432 in words is "seventy-seven billion, one hundred thirty-four million, four hundred eighty-two thousand, four hundred thirty-two".