49729680 has 640 divisors, whose sum is σ = 239984640. Its totient is φ = 9123840.

The previous prime is 49729661. The next prime is 49729681. The reversal of 49729680 is 8692794.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49729681) 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, 2162149 + ... + 2162171.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^49729680 is an apocalyptic number.

49729680 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 49729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

49729680 is an abundant number, since it is smaller than the sum of its proper divisors (190254960).

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

49729680 is a wasteful number, since it uses less digits than its factorization.

49729680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49729680 is about 7051.9273961095. The cubic root of 49729680 is about 367.7380382037.

The spelling of 49729680 in words is "forty-nine million, seven hundred twenty-nine thousand, six hundred eighty".