71612006400 has 576 divisors, whose sum is σ = 280163697840. Its totient is φ = 17340825600.

The previous prime is 71612006393. The next prime is 71612006441. The reversal of 71612006400 is 460021617.

71612006400 is a `hidden beast` number, since 7 + 1 + 6 + 12 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81100359 + ... + 81101241.

Almost surely, 2^71612006400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71612006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140081848920).

71612006400 is an abundant number, since it is smaller than the sum of its proper divisors (208551691440).

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

71612006400 is a wasteful number, since it uses less digits than its factorization.

71612006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

It can be divided in two parts, 7161 and 2006400, that added together give a square (2013561 = 1419²).

The spelling of 71612006400 in words is "seventy-one billion, six hundred twelve million, six thousand, four hundred".