71864432640 has 2304 divisors, whose sum is σ = 360601113600. Its totient is φ = 12740198400.

The previous prime is 71864432617. The next prime is 71864432641. The reversal of 71864432640 is 4623446817.

71864432640 is a `hidden beast` number, since 7 + 186 + 443 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71864432641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1752791020 + ... + 1752791060.

It is an arithmetic number, because the mean of its divisors is an integer number (156510900).

Almost surely, 2^71864432640 is an apocalyptic number.

71864432640 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 71864432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180300556800).

71864432640 is an abundant number, since it is smaller than the sum of its proper divisors (288736680960).

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

71864432640 is a wasteful number, since it uses less digits than its factorization.

71864432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 71864432640 in words is "seventy-one billion, eight hundred sixty-four million, four hundred thirty-two thousand, six hundred forty".