71792328041280 has 1792 divisors, whose sum is σ = 333404577792000. Its totient is φ = 14089216204800.

The previous prime is 71792328041263. The next prime is 71792328041353. The reversal of 71792328041280 is 8214082329717.

71792328041280 is a `hidden beast` number, since 7 + 1 + 79 + 2 + 3 + 2 + 80 + 412 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 4183937341 + ... + 4183954499.

Almost surely, 2^{71792328041280} is an apocalyptic number.

71792328041280 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 71792328041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166702288896000).

71792328041280 is an abundant number, since it is smaller than the sum of its proper divisors (261612249750720).

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

71792328041280 is a wasteful number, since it uses less digits than its factorization.

71792328041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17553 (or 17537 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 71792328041280 in words is "seventy-one trillion, seven hundred ninety-two billion, three hundred twenty-eight million, forty-one thousand, two hundred eighty".