39520327680 has 960 divisors, whose sum is σ = 154118764800. Its totient is φ = 9661317120.

The previous prime is 39520327621. The next prime is 39520327687. The reversal of 39520327680 is 8672302593.

39520327680 is a `hidden beast` number, since 39 + 520 + 32 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39520327687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 745666534 + ... + 745666586.

It is an arithmetic number, because the mean of its divisors is an integer number (160540380).

Almost surely, 2^39520327680 is an apocalyptic number.

39520327680 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 39520327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77059382400).

39520327680 is an abundant number, since it is smaller than the sum of its proper divisors (114598437120).

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

39520327680 is a wasteful number, since it uses less digits than its factorization.

39520327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 39520327680 in words is "thirty-nine billion, five hundred twenty million, three hundred twenty-seven thousand, six hundred eighty".