248628367680 has 672 divisors, whose sum is σ = 1018307002752. Its totient is φ = 50809651200.

The previous prime is 248628367651. The next prime is 248628367693. The reversal of 248628367680 is 86763826842.

248628367680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 31559902 + ... + 31567778.

Almost surely, 2^248628367680 is an apocalyptic number.

248628367680 is a gapful number since it is divisible by the number (20) 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 248628367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509153501376).

248628367680 is an abundant number, since it is smaller than the sum of its proper divisors (769678635072).

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

248628367680 is a wasteful number, since it uses less digits than its factorization.

248628367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 248628367680 in words is "two hundred forty-eight billion, six hundred twenty-eight million, three hundred sixty-seven thousand, six hundred eighty".