48944528640 has 720 divisors, whose sum is σ = 211978432512. Its totient is φ = 10526588928.

The previous prime is 48944528639. The next prime is 48944528641. The reversal of 48944528640 is 4682544984.

It is a happy number.

48944528640 is a `hidden beast` number, since 4 + 89 + 445 + 2 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (48944528639) and next prime (48944528641).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48944528641) 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, 12335937 + ... + 12339903.

Almost surely, 2^48944528640 is an apocalyptic number.

48944528640 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 48944528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105989216256).

48944528640 is an abundant number, since it is smaller than the sum of its proper divisors (163033903872).

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

48944528640 is a wasteful number, since it uses less digits than its factorization.

48944528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 48944528640 in words is "forty-eight billion, nine hundred forty-four million, five hundred twenty-eight thousand, six hundred forty".