71654868000 has 384 divisors, whose sum is σ = 264076001280. Its totient is φ = 19105632000.

The previous prime is 71654867983. The next prime is 71654868001. The reversal of 71654868000 is 86845617.

It is a happy number.

71654868000 is a `hidden beast` number, since 7 + 165 + 486 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71654868001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8743905 + ... + 8752095.

It is an arithmetic number, because the mean of its divisors is an integer number (687697920).

Almost surely, 2^71654868000 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 71654868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132038000640).

71654868000 is an abundant number, since it is smaller than the sum of its proper divisors (192421133280).

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

71654868000 is an frugal number, since it uses more digits than its factorization.

71654868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 71654868000 in words is "seventy-one billion, six hundred fifty-four million, eight hundred sixty-eight thousand".