71664294240 has 3072 divisors, whose sum is σ = 376233984000. Its totient is φ = 12262440960.

The previous prime is 71664294179. The next prime is 71664294271. The reversal of 71664294240 is 4249246617.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2471182546 + ... + 2471182574.

It is an arithmetic number, because the mean of its divisors is an integer number (122472000).

Almost surely, 2^71664294240 is an apocalyptic number.

71664294240 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 71664294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188116992000).

71664294240 is an abundant number, since it is smaller than the sum of its proper divisors (304569689760).

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

71664294240 is a wasteful number, since it uses less digits than its factorization.

71664294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

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

The spelling of 71664294240 in words is "seventy-one billion, six hundred sixty-four million, two hundred ninety-four thousand, two hundred forty".