39661427815680 has 576 divisors, whose sum is σ = 147560385208320. Its totient is φ = 8983872307200.

The previous prime is 39661427815643. The next prime is 39661427815699. The reversal of 39661427815680 is 8651872416693.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37451539 + ... + 38495981.

It is an arithmetic number, because the mean of its divisors is an integer number (256181224320).

It is a 1-persistent number, because it is pandigital, but 2⋅39661427815680 = 79322855631360 is not.

Almost surely, 2^{39661427815680} is an apocalyptic number.

39661427815680 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 39661427815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73780192604160).

39661427815680 is an abundant number, since it is smaller than the sum of its proper divisors (107898957392640).

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

39661427815680 is a wasteful number, since it uses less digits than its factorization.

39661427815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044538 (or 1044524 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 39661427815680 in words is "thirty-nine trillion, six hundred sixty-one billion, four hundred twenty-seven million, eight hundred fifteen thousand, six hundred eighty".