71874238464 has 768 divisors, whose sum is σ = 265749120000. Its totient is φ = 18728091648.

The previous prime is 71874238459. The next prime is 71874238489. The reversal of 71874238464 is 46483247817.

71874238464 is a `hidden beast` number, since 7 + 1 + 87 + 423 + 84 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71874238464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213276504 + ... + 213276840.

It is an arithmetic number, because the mean of its divisors is an integer number (346027500).

Almost surely, 2^71874238464 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 71874238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560000).

71874238464 is an abundant number, since it is smaller than the sum of its proper divisors (193874881536).

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

71874238464 is a wasteful number, since it uses less digits than its factorization.

71874238464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 71874238464 in words is "seventy-one billion, eight hundred seventy-four million, two hundred thirty-eight thousand, four hundred sixty-four".