48683076624 has 640 divisors, whose sum is σ = 177766400000. Its totient is φ = 12674382336.

The previous prime is 48683076577. The next prime is 48683076713. The reversal of 48683076624 is 42667038684.

48683076624 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 3 + 0 + 7 + 6 + 624 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 244638477 + ... + 244638675.

It is an arithmetic number, because the mean of its divisors is an integer number (277760000).

Almost surely, 2^48683076624 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 48683076624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88883200000).

48683076624 is an abundant number, since it is smaller than the sum of its proper divisors (129083323376).

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

48683076624 is a wasteful number, since it uses less digits than its factorization.

48683076624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 48683076624 in words is "forty-eight billion, six hundred eighty-three million, seventy-six thousand, six hundred twenty-four".