71848969920 has 1120 divisors, whose sum is σ = 319216601088. Its totient is φ = 14935891968.

The previous prime is 71848969919. The next prime is 71848969921. The reversal of 71848969920 is 2996984817.

71848969920 is a `hidden beast` number, since 7 + 1 + 8 + 489 + 69 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71848969919) and next prime (71848969921).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (71848969921) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 195773577 + ... + 195773943.

Almost surely, 2^71848969920 is an apocalyptic number.

71848969920 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 71848969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159608300544).

71848969920 is an abundant number, since it is smaller than the sum of its proper divisors (247367631168).

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

71848969920 is a wasteful number, since it uses less digits than its factorization.

71848969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 71848969920 in words is "seventy-one billion, eight hundred forty-eight million, nine hundred sixty-nine thousand, nine hundred twenty".