48721680 has 180 divisors, whose sum is σ = 190475532. Its totient is φ = 11128320.

The previous prime is 48721661. The next prime is 48721703. The reversal of 48721680 is 8612784.

It can be written as a sum of positive squares in 2 ways, for example, as 19820304 + 28901376 = 4452^2 + 5376^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34590 + ... + 35970.

Almost surely, 2^48721680 is an apocalyptic number.

48721680 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 48721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95237766).

48721680 is an abundant number, since it is smaller than the sum of its proper divisors (141753852).

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

48721680 is a wasteful number, since it uses less digits than its factorization.

48721680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48721680 is about 6980.0916899422. The cubic root of 48721680 is about 365.2364265441.

The spelling of 48721680 in words is "forty-eight million, seven hundred twenty-one thousand, six hundred eighty".