71761969440 has 1920 divisors, whose sum is σ = 337217126400. Its totient is φ = 13974405120.

The previous prime is 71761969439. The next prime is 71761969541. The reversal of 71761969440 is 4496916717.

71761969440 is a `hidden beast` number, since 7 + 1 + 7 + 6 + 196 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 908379321 + ... + 908379399.

It is an arithmetic number, because the mean of its divisors is an integer number (175633920).

Almost surely, 2^71761969440 is an apocalyptic number.

71761969440 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 71761969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168608563200).

71761969440 is an abundant number, since it is smaller than the sum of its proper divisors (265455156960).

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

71761969440 is a wasteful number, since it uses less digits than its factorization.

71761969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 71761969440 in words is "seventy-one billion, seven hundred sixty-one million, nine hundred sixty-nine thousand, four hundred forty".