48261536640 has 640 divisors, whose sum is σ = 190503213120. Its totient is φ = 11581194240.

The previous prime is 48261536629. The next prime is 48261536647. The reversal of 48261536640 is 4663516284.

48261536640 is a `hidden beast` number, since 482 + 61 + 53 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (48261536647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20268250 + ... + 20270630.

Almost surely, 2^48261536640 is an apocalyptic number.

48261536640 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 48261536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95251606560).

48261536640 is an abundant number, since it is smaller than the sum of its proper divisors (142241676480).

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

48261536640 is a wasteful number, since it uses less digits than its factorization.

48261536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 48261536640 in words is "forty-eight billion, two hundred sixty-one million, five hundred thirty-six thousand, six hundred forty".