71642153856 has 512 divisors, whose sum is σ = 241625825280. Its totient is φ = 18306662400.

The previous prime is 71642153833. The next prime is 71642153867. The reversal of 71642153856 is 65835124617.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187055041 + ... + 187055423.

It is an arithmetic number, because the mean of its divisors is an integer number (471925440).

Almost surely, 2^71642153856 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 71642153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120812912640).

71642153856 is an abundant number, since it is smaller than the sum of its proper divisors (169983671424).

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

71642153856 is a wasteful number, since it uses less digits than its factorization.

71642153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 71642153856 in words is "seventy-one billion, six hundred forty-two million, one hundred fifty-three thousand, eight hundred fifty-six".