48681076640 has 288 divisors, whose sum is σ = 138128820480. Its totient is φ = 16157546496.

The previous prime is 48681076583. The next prime is 48681076669. The reversal of 48681076640 is 4667018684.

48681076640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32825339 + ... + 32826821.

It is an arithmetic number, because the mean of its divisors is an integer number (479613960).

Almost surely, 2^48681076640 is an apocalyptic number.

48681076640 is a gapful number since it is divisible by the number (40) 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 48681076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69064410240).

48681076640 is an abundant number, since it is smaller than the sum of its proper divisors (89447743840).

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

48681076640 is a wasteful number, since it uses less digits than its factorization.

48681076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 48681076640 in words is "forty-eight billion, six hundred eighty-one million, seventy-six thousand, six hundred forty".