73271869440 has 640 divisors, whose sum is σ = 294741849600. Its totient is φ = 15225323520.

The previous prime is 73271869427. The next prime is 73271869493. The reversal of 73271869440 is 4496817237.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6661079035 + ... + 6661079045.

It is an arithmetic number, because the mean of its divisors is an integer number (460534140).

Almost surely, 2^73271869440 is an apocalyptic number.

73271869440 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 73271869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147370924800).

73271869440 is an abundant number, since it is smaller than the sum of its proper divisors (221469980160).

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

73271869440 is an frugal number, since it uses more digits than its factorization.

73271869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 73271869440 in words is "seventy-three billion, two hundred seventy-one million, eight hundred sixty-nine thousand, four hundred forty".