71496775350 has 1152 divisors, whose sum is σ = 275790348288. Its totient is φ = 12796185600.

The previous prime is 71496775331. The next prime is 71496775351. The reversal of 71496775350 is 5357769417.

71496775350 is a `hidden beast` number, since 7 + 1 + 49 + 67 + 7 + 535 + 0 = 666.

It is a super-2 number, since 2×71496775350² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71496775351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 694143399 + ... + 694143501.

It is an arithmetic number, because the mean of its divisors is an integer number (239401344).

Almost surely, 2^71496775350 is an apocalyptic number.

71496775350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71496775350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137895174144).

71496775350 is an abundant number, since it is smaller than the sum of its proper divisors (204293572938).

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

71496775350 is a wasteful number, since it uses less digits than its factorization.

71496775350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 71496775350 in words is "seventy-one billion, four hundred ninety-six million, seven hundred seventy-five thousand, three hundred fifty".