49646867760 has 640 divisors, whose sum is σ = 210557952000. Its totient is φ = 10497973248.

The previous prime is 49646867731. The next prime is 49646867771. The reversal of 49646867760 is 6776864694.

49646867760 is a `hidden beast` number, since 49 + 6 + 468 + 6 + 77 + 60 = 666.

49646867760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49646867760² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12351031 + ... + 12355049.

It is an arithmetic number, because the mean of its divisors is an integer number (328996800).

Almost surely, 2^49646867760 is an apocalyptic number.

49646867760 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 49646867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105278976000).

49646867760 is an abundant number, since it is smaller than the sum of its proper divisors (160911084240).

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

49646867760 is a wasteful number, since it uses less digits than its factorization.

49646867760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 49646867760 in words is "forty-nine billion, six hundred forty-six million, eight hundred sixty-seven thousand, seven hundred sixty".