39668408640 has 1008 divisors, whose sum is σ = 170747740800. Its totient is φ = 8730021888.

The previous prime is 39668408629. The next prime is 39668408653. The reversal of 39668408640 is 4680486693.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110496781 + ... + 110497139.

It is an arithmetic number, because the mean of its divisors is an integer number (169392600).

Almost surely, 2^39668408640 is an apocalyptic number.

39668408640 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 39668408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85373870400).

39668408640 is an abundant number, since it is smaller than the sum of its proper divisors (131079332160).

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

39668408640 is a wasteful number, since it uses less digits than its factorization.

39668408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 39668408640 in words is "thirty-nine billion, six hundred sixty-eight million, four hundred eight thousand, six hundred forty".