49967394863760 has 720 divisors, whose sum is σ = 187379496944640. Its totient is φ = 11922349824000.

The previous prime is 49967394863657. The next prime is 49967394863839. The reversal of 49967394863760 is 6736849376994.

It is a happy number.

49967394863760 is a `hidden beast` number, since 4 + 9 + 9 + 6 + 73 + 9 + 486 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×49967394863760² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49967394863760.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1433890657 + ... + 1433925503.

It is an arithmetic number, because the mean of its divisors is an integer number (260249301312).

Almost surely, 2^{49967394863760} is an apocalyptic number.

49967394863760 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 49967394863760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93689748472320).

49967394863760 is an abundant number, since it is smaller than the sum of its proper divisors (137412102080880).

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

49967394863760 is a wasteful number, since it uses less digits than its factorization.

49967394863760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35148 (or 35128 counting only the distinct ones).

The product of its (nonzero) digits is 8888527872, while the sum is 81.

The spelling of 49967394863760 in words is "forty-nine trillion, nine hundred sixty-seven billion, three hundred ninety-four million, eight hundred sixty-three thousand, seven hundred sixty".