48628626480 has 320 divisors, whose sum is σ = 202688455680. Its totient is φ = 10461229056.

The previous prime is 48628626457. The next prime is 48628626491. The reversal of 48628626480 is 8462682684.

48628626480 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 8 + 626 + 4 + 8 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162447 + ... + 351633.

It is an arithmetic number, because the mean of its divisors is an integer number (633401424).

Almost surely, 2^48628626480 is an apocalyptic number.

48628626480 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 48628626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101344227840).

48628626480 is an abundant number, since it is smaller than the sum of its proper divisors (154059829200).

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

48628626480 is a wasteful number, since it uses less digits than its factorization.

48628626480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189233 (or 189221 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 48628626480 in words is "forty-eight billion, six hundred twenty-eight million, six hundred twenty-six thousand, four hundred eighty".