49567680 has 112 divisors (see below), whose sum is σ = 174894240. Its totient is φ = 13215744.

The previous prime is 49567633. The next prime is 49567697. The reversal of 49567680 is 8676594.

49567680 is a `hidden beast` number, since 4 + 9 + 567 + 6 + 80 = 666.

49567680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5772 + ... + 11508.

Almost surely, 2^49567680 is an apocalyptic number.

49567680 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 49567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87447120).

49567680 is an abundant number, since it is smaller than the sum of its proper divisors (125326560).

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

49567680 is a wasteful number, since it uses less digits than its factorization.

49567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 49567680 is about 7040.4318049392. The cubic root of 49567680 is about 367.3382878688.

The spelling of 49567680 in words is "forty-nine million, five hundred sixty-seven thousand, six hundred eighty".