48322100640 has 768 divisors, whose sum is σ = 180034928640. Its totient is φ = 10782720000.

The previous prime is 48322100633. The next prime is 48322100641. The reversal of 48322100640 is 4600122384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48322100598 and 48322100607.

It is not an unprimeable number, because it can be changed into a prime (48322100641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478436590 + ... + 478436690.

It is an arithmetic number, because the mean of its divisors is an integer number (234420480).

Almost surely, 2^48322100640 is an apocalyptic number.

48322100640 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 48322100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90017464320).

48322100640 is an abundant number, since it is smaller than the sum of its proper divisors (131712828000).

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

48322100640 is a wasteful number, since it uses less digits than its factorization.

48322100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 48322100640 in words is "forty-eight billion, three hundred twenty-two million, one hundred thousand, six hundred forty".