71794353641472 has 1152 divisors, whose sum is σ = 267725884608000. Its totient is φ = 18142281400320.

The previous prime is 71794353641431. The next prime is 71794353641477. The reversal of 71794353641472 is 27414635349717.

71794353641472 is a `hidden beast` number, since 7 + 1 + 7 + 94 + 3 + 5 + 36 + 41 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71794353641477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6354039279 + ... + 6354050577.

It is an arithmetic number, because the mean of its divisors is an integer number (232400941500).

Almost surely, 2^{71794353641472} is an apocalyptic number.

71794353641472 is a gapful number since it is divisible by the number (72) 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 71794353641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133862942304000).

71794353641472 is an abundant number, since it is smaller than the sum of its proper divisors (195931530966528).

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

71794353641472 is a wasteful number, since it uses less digits than its factorization.

71794353641472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11404 (or 11359 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 71794353641472 in words is "seventy-one trillion, seven hundred ninety-four billion, three hundred fifty-three million, six hundred forty-one thousand, four hundred seventy-two".