50642013723840 has 2688 divisors, whose sum is σ = 241089972480000. Its totient is φ = 9967831695360.

The previous prime is 50642013723823. The next prime is 50642013723871. The reversal of 50642013723840 is 4832731024605.

50642013723840 is a `hidden beast` number, since 5 + 0 + 6 + 4 + 201 + 372 + 38 + 40 = 666.

It is a super-2 number, since 2×50642013723840² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6813128764 + ... + 6813136196.

It is an arithmetic number, because the mean of its divisors is an integer number (89691210000).

Almost surely, 2^{50642013723840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50642013723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120544986240000).

50642013723840 is an abundant number, since it is smaller than the sum of its proper divisors (190447958756160).

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

50642013723840 is a wasteful number, since it uses less digits than its factorization.

50642013723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 50642013723840 in words is "fifty trillion, six hundred forty-two billion, thirteen million, seven hundred twenty-three thousand, eight hundred forty".