71377120788480 has 1728 divisors, whose sum is σ = 288550237248000. Its totient is φ = 16794639138816.

The previous prime is 71377120788473. The next prime is 71377120788551. The reversal of 71377120788480 is 8488702177317.

71377120788480 is a `hidden beast` number, since 7 + 1 + 3 + 7 + 71 + 2 + 0 + 7 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 47616490771 + ... + 47616492269.

It is an arithmetic number, because the mean of its divisors is an integer number (166985091000).

Almost surely, 2^{71377120788480} 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 71377120788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144275118624000).

71377120788480 is an abundant number, since it is smaller than the sum of its proper divisors (217173116459520).

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

71377120788480 is an equidigital number, since it uses as much as digits as its factorization.

71377120788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 63.

The spelling of 71377120788480 in words is "seventy-one trillion, three hundred seventy-seven billion, one hundred twenty million, seven hundred eighty-eight thousand, four hundred eighty".