71682024960 has 960 divisors, whose sum is σ = 308860231680. Its totient is φ = 14960885760.

The previous prime is 71682024941. The next prime is 71682024977. The reversal of 71682024960 is 6942028617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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, 375298465 + ... + 375298655.

It is an arithmetic number, because the mean of its divisors is an integer number (321729408).

Almost surely, 2^71682024960 is an apocalyptic number.

71682024960 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 71682024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154430115840).

71682024960 is an abundant number, since it is smaller than the sum of its proper divisors (237178206720).

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

71682024960 is a wasteful number, since it uses less digits than its factorization.

71682024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 71682024960 in words is "seventy-one billion, six hundred eighty-two million, twenty-four thousand, nine hundred sixty".