71735408640 has 1152 divisors, whose sum is σ = 312030351360. Its totient is φ = 14863564800.

The previous prime is 71735408639. The next prime is 71735408687. The reversal of 71735408640 is 4680453717.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339978135 + ... + 339978345.

It is an arithmetic number, because the mean of its divisors is an integer number (270859680).

Almost surely, 2^71735408640 is an apocalyptic number.

71735408640 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 71735408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156015175680).

71735408640 is an abundant number, since it is smaller than the sum of its proper divisors (240294942720).

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

71735408640 is a wasteful number, since it uses less digits than its factorization.

71735408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 71735408640 in words is "seventy-one billion, seven hundred thirty-five million, four hundred eight thousand, six hundred forty".