78577749432 has 224 divisors, whose sum is σ = 271877366880. Its totient is φ = 20723662080.

The previous prime is 78577749407. The next prime is 78577749449. The reversal of 78577749432 is 23494777587.

78577749432 is a `hidden beast` number, since 78 + 5 + 7 + 77 + 494 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 78577749432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 456682 + ... + 604742.

It is an arithmetic number, because the mean of its divisors is an integer number (1213738245).

Almost surely, 2^78577749432 is an apocalyptic number.

78577749432 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 78577749432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135938683440).

78577749432 is an abundant number, since it is smaller than the sum of its proper divisors (193299617448).

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

78577749432 is a wasteful number, since it uses less digits than its factorization.

78577749432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148105 (or 148086 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 78577749432 in words is "seventy-eight billion, five hundred seventy-seven million, seven hundred forty-nine thousand, four hundred thirty-two".