71303849648640 has 2560 divisors, whose sum is σ = 308369977344000. Its totient is φ = 15274096459776.

The previous prime is 71303849648623. The next prime is 71303849648657. The reversal of 71303849648640 is 4684694830317.

It is a happy number.

71303849648640 is a `hidden beast` number, since 7 + 1 + 30 + 3 + 84 + 9 + 6 + 486 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (71303849648623) and next prime (71303849648657).

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 68627381241 + ... + 68627382279.

It is an arithmetic number, because the mean of its divisors is an integer number (120457022400).

Almost surely, 2^{71303849648640} is an apocalyptic number.

71303849648640 is a gapful number since it is divisible by the number (70) 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 71303849648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154184988672000).

71303849648640 is an abundant number, since it is smaller than the sum of its proper divisors (237066127695360).

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

71303849648640 is a wasteful number, since it uses less digits than its factorization.

71303849648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 71303849648640 in words is "seventy-one trillion, three hundred three billion, eight hundred forty-nine million, six hundred forty-eight thousand, six hundred forty".