71783738880 has 640 divisors, whose sum is σ = 285101752320. Its totient is φ = 15036088320.

The previous prime is 71783738879. The next prime is 71783738881. The reversal of 71783738880 is 8883738717.

It is an interprime number because it is at equal distance from previous prime (71783738879) and next prime (71783738881).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71783738881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31663507 + ... + 31665773.

It is an arithmetic number, because the mean of its divisors is an integer number (445471488).

Almost surely, 2^71783738880 is an apocalyptic number.

71783738880 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 71783738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550876160).

71783738880 is an abundant number, since it is smaller than the sum of its proper divisors (213318013440).

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

71783738880 is a wasteful number, since it uses less digits than its factorization.

71783738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 60.

The spelling of 71783738880 in words is "seventy-one billion, seven hundred eighty-three million, seven hundred thirty-eight thousand, eight hundred eighty".