71418735360 has 864 divisors, whose sum is σ = 304425838080. Its totient is φ = 15086518272.

The previous prime is 71418735341. The next prime is 71418735379. The reversal of 71418735360 is 6353781417.

71418735360 is a `hidden beast` number, since 7 + 1 + 41 + 8 + 73 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71418735341) and next prime (71418735379).

It is a super-3 number, since 3×71418735360³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80881479 + ... + 80882361.

It is an arithmetic number, because the mean of its divisors is an integer number (352344720).

Almost surely, 2^71418735360 is an apocalyptic number.

71418735360 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 71418735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152212919040).

71418735360 is an abundant number, since it is smaller than the sum of its proper divisors (233007102720).

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

71418735360 is a wasteful number, since it uses less digits than its factorization.

71418735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 71418735360 in words is "seventy-one billion, four hundred eighteen million, seven hundred thirty-five thousand, three hundred sixty".