50627348640 has 432 divisors, whose sum is σ = 195056886024. Its totient is φ = 11940065280.

The previous prime is 50627348617. The next prime is 50627348641. The reversal of 50627348640 is 4684372605.

50627348640 is a `hidden beast` number, since 5 + 0 + 62 + 73 + 486 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36482528016 + 14144820624 = 191004^2 + 118932^2 .

It is a super-2 number, since 2×50627348640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (50627348641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6442954 + ... + 6450806.

Almost surely, 2^50627348640 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 50627348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97528443012).

50627348640 is an abundant number, since it is smaller than the sum of its proper divisors (144429537384).

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

50627348640 is a wasteful number, since it uses less digits than its factorization.

50627348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7933 (or 7911 counting only the distinct ones).

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

The spelling of 50627348640 in words is "fifty billion, six hundred twenty-seven million, three hundred forty-eight thousand, six hundred forty".