71019666432 has 1056 divisors, whose sum is σ = 263451847680. Its totient is φ = 18734284800.

The previous prime is 71019666413. The next prime is 71019666461. The reversal of 71019666432 is 23466691017.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×71019666432² (a number of 23 digits) contains 22 as substring.

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, 1000276957 + ... + 1000277027.

Almost surely, 2^71019666432 is an apocalyptic number.

71019666432 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 71019666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725923840).

71019666432 is an abundant number, since it is smaller than the sum of its proper divisors (192432181248).

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

71019666432 is a wasteful number, since it uses less digits than its factorization.

71019666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 71019666432 in words is "seventy-one billion, nineteen million, six hundred sixty-six thousand, four hundred thirty-two".