39675637680 has 640 divisors, whose sum is σ = 157525917696. Its totient is φ = 8051097600.

The previous prime is 39675637667. The next prime is 39675637681. The reversal of 39675637680 is 8673657693.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (39675637681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 36299214 + ... + 36300306.

Almost surely, 2^39675637680 is an apocalyptic number.

39675637680 is a gapful number since it is divisible by the number (30) 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 39675637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78762958848).

39675637680 is an abundant number, since it is smaller than the sum of its proper divisors (117850280016).

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

39675637680 is a wasteful number, since it uses less digits than its factorization.

39675637680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 39675637680 in words is "thirty-nine billion, six hundred seventy-five million, six hundred thirty-seven thousand, six hundred eighty".