49768821648 has 480 divisors, whose sum is σ = 182794300416. Its totient is φ = 12266422272.

The previous prime is 49768821647. The next prime is 49768821701. The reversal of 49768821648 is 84612886794.

49768821648 is a `hidden beast` number, since 497 + 6 + 8 + 82 + 1 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49768821647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34973865 + ... + 34975287.

Almost surely, 2^49768821648 is an apocalyptic number.

49768821648 is a gapful number since it is divisible by the number (48) 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 49768821648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91397150208).

49768821648 is an abundant number, since it is smaller than the sum of its proper divisors (133025478768).

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

49768821648 is a wasteful number, since it uses less digits than its factorization.

49768821648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 49768821648 in words is "forty-nine billion, seven hundred sixty-eight million, eight hundred twenty-one thousand, six hundred forty-eight".