71487477600 has 1152 divisors, whose sum is σ = 307420323840. Its totient is φ = 14106470400.

The previous prime is 71487477587. The next prime is 71487477641. The reversal of 71487477600 is 677478417.

It is a happy number.

It is a super-2 number, since 2×71487477600² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 514298331 + ... + 514298469.

It is an arithmetic number, because the mean of its divisors is an integer number (266857920).

Almost surely, 2^71487477600 is an apocalyptic number.

71487477600 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 71487477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153710161920).

71487477600 is an abundant number, since it is smaller than the sum of its proper divisors (235932846240).

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

71487477600 is a wasteful number, since it uses less digits than its factorization.

71487477600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 51.

The spelling of 71487477600 in words is "seventy-one billion, four hundred eighty-seven million, four hundred seventy-seven thousand, six hundred".