39778829568 has 144 divisors (see below), whose sum is σ = 117928988800. Its totient is φ = 13226250240.

The previous prime is 39778829557. The next prime is 39778829593. The reversal of 39778829568 is 86592887793.

39778829568 is a `hidden beast` number, since 39 + 7 + 7 + 8 + 8 + 29 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 39778829496 and 39778829505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2819973 + ... + 2834043.

Almost surely, 2^39778829568 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 39778829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58964494400).

39778829568 is an abundant number, since it is smaller than the sum of its proper divisors (78150159232).

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

39778829568 is a wasteful number, since it uses less digits than its factorization.

39778829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14505 (or 14485 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 39778829568 in words is "thirty-nine billion, seven hundred seventy-eight million, eight hundred twenty-nine thousand, five hundred sixty-eight".