39480075648 has 256 divisors, whose sum is σ = 125805657600. Its totient is φ = 12116625408.

The previous prime is 39480075641. The next prime is 39480075659. The reversal of 39480075648 is 84657008493.

39480075648 is a `hidden beast` number, since 39 + 48 + 0 + 0 + 7 + 564 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 39480075594 and 39480075603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39480075641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22597911 + ... + 22599657.

It is an arithmetic number, because the mean of its divisors is an integer number (491428350).

Almost surely, 2^39480075648 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 39480075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62902828800).

39480075648 is an abundant number, since it is smaller than the sum of its proper divisors (86325581952).

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

39480075648 is a wasteful number, since it uses less digits than its factorization.

39480075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 39480075648 in words is "thirty-nine billion, four hundred eighty million, seventy-five thousand, six hundred forty-eight".