49711680 has 168 divisors, whose sum is σ = 175573944. Its totient is φ = 12902400.

The previous prime is 49711679. The next prime is 49711681. The reversal of 49711680 is 8611794.

49711680 is a `hidden beast` number, since 497 + 1 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49711679) and next prime (49711681).

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 44836416 = 2208^2 + 6696^2 .

It is a super-2 number, since 2×49711680² = 4942502256844800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49711681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117870 + ... + 118290.

It is an arithmetic number, because the mean of its divisors is an integer number (1045083).

Almost surely, 2^49711680 is an apocalyptic number.

49711680 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 49711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87786972).

49711680 is an abundant number, since it is smaller than the sum of its proper divisors (125862264).

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

49711680 is a wasteful number, since it uses less digits than its factorization.

49711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 49711680 is about 7050.6510337699. The cubic root of 49711680 is about 367.6936644114.

The spelling of 49711680 in words is "forty-nine million, seven hundred eleven thousand, six hundred eighty".