39629979648 has 512 divisors, whose sum is σ = 137571072000. Its totient is φ = 11179524096.

The previous prime is 39629979601. The next prime is 39629979677. The reversal of 39629979648 is 84697992693.

39629979648 is a `hidden beast` number, since 396 + 29 + 97 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

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 31 ways as a sum of consecutive naturals, for example, 501645273 + ... + 501645351.

It is an arithmetic number, because the mean of its divisors is an integer number (268693500).

Almost surely, 2^39629979648 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 39629979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68785536000).

39629979648 is an abundant number, since it is smaller than the sum of its proper divisors (97941092352).

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

39629979648 is an frugal number, since it uses more digits than its factorization.

39629979648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 39629979648 in words is "thirty-nine billion, six hundred twenty-nine million, nine hundred seventy-nine thousand, six hundred forty-eight".