71964426240 has 864 divisors, whose sum is σ = 301233764160. Its totient is φ = 16250830848.

The previous prime is 71964426227. The next prime is 71964426253. The reversal of 71964426240 is 4262446917.

71964426240 is a `hidden beast` number, since 7 + 19 + 6 + 4 + 4 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71964426227) and next prime (71964426253).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867041239 + ... + 867041321.

It is an arithmetic number, because the mean of its divisors is an integer number (348650190).

Almost surely, 2^71964426240 is an apocalyptic number.

71964426240 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 71964426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150616882080).

71964426240 is an abundant number, since it is smaller than the sum of its proper divisors (229269337920).

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

71964426240 is an frugal number, since it uses more digits than its factorization.

71964426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 71964426240 in words is "seventy-one billion, nine hundred sixty-four million, four hundred twenty-six thousand, two hundred forty".