71698378752 has 1248 divisors, whose sum is σ = 291950830080. Its totient is φ = 16349921280.

The previous prime is 71698378733. The next prime is 71698378789. The reversal of 71698378752 is 25787389617.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 71698378752.

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, 1070125023 + ... + 1070125089.

It is an arithmetic number, because the mean of its divisors is an integer number (233934960).

Almost surely, 2^71698378752 is an apocalyptic number.

71698378752 is a gapful number since it is divisible by the number (72) 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 71698378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145975415040).

71698378752 is an abundant number, since it is smaller than the sum of its proper divisors (220252451328).

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

71698378752 is a wasteful number, since it uses less digits than its factorization.

71698378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 71698378752 in words is "seventy-one billion, six hundred ninety-eight million, three hundred seventy-eight thousand, seven hundred fifty-two".