71994908160 has 960 divisors, whose sum is σ = 308161972800. Its totient is φ = 15866855424.

The previous prime is 71994908119. The next prime is 71994908191. The reversal of 71994908160 is 6180949917.

71994908160 is a `hidden beast` number, since 7 + 1 + 99 + 490 + 8 + 1 + 60 = 666.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 71994908097 and 71994908106.

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, 98219154 + ... + 98219886.

It is an arithmetic number, because the mean of its divisors is an integer number (321002055).

Almost surely, 2^71994908160 is an apocalyptic number.

71994908160 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 71994908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154080986400).

71994908160 is an abundant number, since it is smaller than the sum of its proper divisors (236167064640).

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

71994908160 is a wasteful number, since it uses less digits than its factorization.

71994908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 71994908160 in words is "seventy-one billion, nine hundred ninety-four million, nine hundred eight thousand, one hundred sixty".