49751680 has 128 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 17510400.

The previous prime is 49751677. The next prime is 49751699. The reversal of 49751680 is 8615794.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×49751680³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260385 + ... + 260575.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 2^49751680 is an apocalyptic number.

49751680 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 49751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

49751680 is an abundant number, since it is smaller than the sum of its proper divisors (84202880).

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

49751680 is a wasteful number, since it uses less digits than its factorization.

49751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 49751680 is about 7053.4870808700. The cubic root of 49751680 is about 367.7922583000.

The spelling of 49751680 in words is "forty-nine million, seven hundred fifty-one thousand, six hundred eighty".